GCD of 676, 364, 220, 922 Calculator

Given Input numbers are 676, 364, 220, 922

In the factoring method, we have to find the divisors of all numbers

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (676, 364, 220, 922) = 2.

Given numbers are 676, 364, 220, 922

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 676, 364, 220, 922 is 2.

Given numbers are 676, 364, 220, 922

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(676, 364) = 4732

GCD(676, 364) = ( 676 x 364 ) / 4732

= 676 / 364

= 676

Step2:

LCM(52, 220) = 2860

GCD(52, 220) = ( 52 x 220 ) / 2860

= 52 / 220

= 52

Step3:

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

= 4 / 922

= 4

So, Greatest Common Divisor of 676, 364, 220, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 299, 144, 559
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Given numbers are 676, 364, 220, 922
The greatest common divisor of numbers 676, 364, 220, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 364, 220, 922 is 2.

1. What is the GCD of 676, 364, 220, 922?

GCD of given numbers 676, 364, 220, 922 is 2

2. How to calculate the greatest common divisor of 676, 364, 220, 922?

We can find the highest common divisor of 676, 364, 220, 922 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 676, 364, 220, 922 i.e 2.

3. How can I use the GCD of 676, 364, 220, 922Calculator?

Out the numbers 676, 364, 220, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.