GCF of 1014 and 425

What is the GCF of 1014 and 425?


GCF of 1014 and 425

is 1

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What is the Greatest Common Factor of 1014 and 425? 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 1014 and 425 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1014.
    2, 3, 13, 13
  2. Find the prime factors of the second number 425.
    5, 5, 17
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1014.
    1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014
  2. Find the factors of the second number 425.
    1, 5, 17, 25, 85, 425
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1014 and 425 is 1.

GCD (Greatest Common Divisor) of 1014 and 425 is 1.

HCF (Highest Common Factor) of 1014 and 425 is 1.

Number GCF LCM
1014 & 420 6 70980
1014 & 421 1 426894
1014 & 422 2 213954
1014 & 423 3 142974
1014 & 424 2 214968
1014 & 425 1 430950
1014 & 426 6 71994
1014 & 427 1 432978
1014 & 428 2 216996
1014 & 429 39 11154
1014 & 430 2 218010