GCF of 670 and 1000

What is the GCF of 670 and 1000?

GCF of 670 and 1000

is 10

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Greatest Common Factor

What is the Greatest Common Factor of 670 and 1000? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 670 and 1000 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 670.
    2, 5, 67
  2. Find the prime factors of the second number 1000.
    2, 2, 2, 5, 5, 5
  3. Multiply of all the common prime factors is the GCF value. Which is,
    10

Factors Method:

  1. Find the factors of the first number 670.
    1, 2, 5, 10, 67, 134, 335, 670
  2. Find the factors of the second number 1000.
    1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
  3. The biggest common factor number is the GCF value. Which is,
    10

GCF (Greatest Common Factor) of 670 and 1000 is 10.

GCD (Greatest Common Divisor) of 670 and 1000 is 10.

HCF (Highest Common Factor) of 670 and 1000 is 10.

Number GCF LCM
670 & 995 5 133330
670 & 996 2 333660
670 & 997 1 667990
670 & 998 2 334330
670 & 999 1 669330
670 & 1000 10 67000
670 & 1001 1 670670
670 & 1002 2 335670
670 & 1003 1 672010
670 & 1004 2 336340
670 & 1005 335 2010
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