GCF of 1021 and 677

What is the GCF of 1021 and 677?

GCF of 1021 and 677

is 1

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Greatest Common Factor

What is the Greatest Common Factor of 1021 and 677? 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 1021 and 677 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1021.
    1021
  2. Find the prime factors of the second number 677.
    677
  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 1021.
    1, 1021
  2. Find the factors of the second number 677.
    1, 677
  3. The biggest common factor number is the GCF value. Which is,
    1

Number GCF LCM
1021 & 672 1 686112
1021 & 673 1 687133
1021 & 674 1 688154
1021 & 675 1 689175
1021 & 676 1 690196
1021 & 677 1 691217
1021 & 678 1 692238
1021 & 679 1 693259
1021 & 680 1 694280
1021 & 681 1 695301
1021 & 682 1 696322

GCF (Greatest Common Factor) of 1021 and 677 is 1.

GCD (Greatest Common Divisor) of 1021 and 677 is 1.

HCF (Highest Common Factor) of 1021 and 677 is 1.
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