GCD of 774, 656, 272, 980 Calculator

Given Input numbers are 774, 656, 272, 980

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (774, 656, 272, 980) = 2.

Given numbers are 774, 656, 272, 980

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 774, 656, 272, 980 is 2.

Given numbers are 774, 656, 272, 980

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

Apply this formula for all numbers.

Step1:

LCM(774, 656) = 253872

GCD(774, 656) = ( 774 x 656 ) / 253872

= 774 / 656

= 774

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 774, 656, 272, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 588, 212, 524
• GCD of 730, 590, 924, 912
• GCD of 465, 771, 595, 954
• GCD of 603, 896, 556, 729
• GCD of 222, 323, 535, 623

Given numbers are 774, 656, 272, 980
The greatest common divisor of numbers 774, 656, 272, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 656, 272, 980 is 2.

1. What is the GCD of 774, 656, 272, 980?

GCD of given numbers 774, 656, 272, 980 is 2

2. How to calculate the greatest common divisor of 774, 656, 272, 980?

We can find the highest common divisor of 774, 656, 272, 980 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 774, 656, 272, 980 i.e 2.

3. How can I use the GCD of 774, 656, 272, 980Calculator?

Out the numbers 774, 656, 272, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.