GCF of 381 and 1002

What is the GCF of 381 and 1002?


GCF of 381 and 1002

is 3

Formula How to

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What is the Greatest Common Factor of 381 and 1002? 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 381 and 1002 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 381.
    3, 127
  2. Find the prime factors of the second number 1002.
    2, 3, 167
  3. Multiply of all the common prime factors is the GCF value. Which is,
    3

Factors Method:

  1. Find the factors of the first number 381.
    1, 3, 127, 381
  2. Find the factors of the second number 1002.
    1, 2, 3, 6, 167, 334, 501, 1002
  3. The biggest common factor number is the GCF value. Which is,
    3

GCF (Greatest Common Factor) of 381 and 1002 is 3.

GCD (Greatest Common Divisor) of 381 and 1002 is 3.

HCF (Highest Common Factor) of 381 and 1002 is 3.

Number GCF LCM
381 & 997 1 379857
381 & 998 1 380238
381 & 999 3 126873
381 & 1000 1 381000
381 & 1001 1 381381
381 & 1002 3 127254
381 & 1003 1 382143
381 & 1004 1 382524
381 & 1005 3 127635
381 & 1006 1 383286
381 & 1007 1 383667