GCD of 716, 272, 956, 649 Calculator

Given Input numbers are 716, 272, 956, 649

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

GCD of numbers is the greatest common divisor

So, the GCD (716, 272, 956, 649) = 1.

Given numbers are 716, 272, 956, 649

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

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

Prime factors of 956 are 2 x 2 x 239

Prime factors of 649 are 11 x 59

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 716, 272, 956, 649

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

Apply this formula for all numbers.

Step1:

LCM(716, 272) = 48688

GCD(716, 272) = ( 716 x 272 ) / 48688

= 716 / 272

= 716

Step2:

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

= 4 / 956

= 4

Step3:

LCM(4, 649) = 2596

GCD(4, 649) = ( 4 x 649 ) / 2596

= 4 / 649

= 4

So, Greatest Common Divisor of 716, 272, 956, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 428, 517, 782
• GCD of 358, 471, 187, 341
• GCD of 962, 714, 516, 100
• GCD of 606, 976, 174, 543
• GCD of 646, 915, 515, 447

Given numbers are 716, 272, 956, 649
The greatest common divisor of numbers 716, 272, 956, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 272, 956, 649 is 1.

1. What is the GCD of 716, 272, 956, 649?

GCD of given numbers 716, 272, 956, 649 is 1

2. How to calculate the greatest common divisor of 716, 272, 956, 649?

We can find the highest common divisor of 716, 272, 956, 649 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 716, 272, 956, 649 i.e 1.

3. How can I use the GCD of 716, 272, 956, 649Calculator?

Out the numbers 716, 272, 956, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.