GCD of 656, 580, 116, 274 Calculator

Given Input numbers are 656, 580, 116, 274

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

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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (656, 580, 116, 274) = 2.

Given numbers are 656, 580, 116, 274

The list of prime factors of all numbers are

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

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 116 are 2 x 2 x 29

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 656, 580, 116, 274 is 2.

Given numbers are 656, 580, 116, 274

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

Apply this formula for all numbers.

Step1:

LCM(656, 580) = 95120

GCD(656, 580) = ( 656 x 580 ) / 95120

= 656 / 580

= 656

Step2:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

Step3:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4

So, Greatest Common Divisor of 656, 580, 116, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 580, 150, 501
• GCD of 207, 749, 154, 323
• GCD of 946, 844, 672, 695
• GCD of 378, 396, 375, 569
• GCD of 790, 875, 283, 788

Given numbers are 656, 580, 116, 274
The greatest common divisor of numbers 656, 580, 116, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 580, 116, 274 is 2.

1. What is the GCD of 656, 580, 116, 274?

GCD of given numbers 656, 580, 116, 274 is 2

2. How to calculate the greatest common divisor of 656, 580, 116, 274?

We can find the highest common divisor of 656, 580, 116, 274 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 656, 580, 116, 274 i.e 2.

3. How can I use the GCD of 656, 580, 116, 274Calculator?

Out the numbers 656, 580, 116, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.