GCD of 272, 532, 394, 656 Calculator

Given Input numbers are 272, 532, 394, 656

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

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 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 656 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (272, 532, 394, 656) = 2.

Given numbers are 272, 532, 394, 656

The list of prime factors of all numbers are

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

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 394 are 2 x 197

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

The highest common occurrence is 2¹

Therefore, GCD of 272, 532, 394, 656 is 2.

Given numbers are 272, 532, 394, 656

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

Apply this formula for all numbers.

Step1:

LCM(272, 532) = 36176

GCD(272, 532) = ( 272 x 532 ) / 36176

= 272 / 532

= 272

Step2:

LCM(4, 394) = 788

GCD(4, 394) = ( 4 x 394 ) / 788

= 4 / 394

= 4

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 272, 532, 394, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 241, 780, 981
• GCD of 807, 764, 813, 227
• GCD of 964, 504, 989, 978
• GCD of 747, 487, 101, 511
• GCD of 504, 997, 951, 889

Given numbers are 272, 532, 394, 656
The greatest common divisor of numbers 272, 532, 394, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 532, 394, 656 is 2.

1. What is the GCD of 272, 532, 394, 656?

GCD of given numbers 272, 532, 394, 656 is 2

2. How to calculate the greatest common divisor of 272, 532, 394, 656?

We can find the highest common divisor of 272, 532, 394, 656 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 272, 532, 394, 656 i.e 2.

3. How can I use the GCD of 272, 532, 394, 656Calculator?

Out the numbers 272, 532, 394, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.