GCD of 316, 784, 624, 272 Calculator

Given Input numbers are 316, 784, 624, 272

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 272 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (316, 784, 624, 272) = 4.

Given numbers are 316, 784, 624, 272

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

The highest common occurrence is 2²

Therefore, GCD of 316, 784, 624, 272 is 4.

Given numbers are 316, 784, 624, 272

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

Apply this formula for all numbers.

Step1:

LCM(316, 784) = 61936

GCD(316, 784) = ( 316 x 784 ) / 61936

= 316 / 784

= 316

Step2:

LCM(4, 624) = 624

GCD(4, 624) = ( 4 x 624 ) / 624

= 4 / 624

= 4

Step3:

LCM(4, 272) = 272

GCD(4, 272) = ( 4 x 272 ) / 272

= 4 / 272

= 4

So, Greatest Common Divisor of 316, 784, 624, 272 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 750, 363, 437
• GCD of 293, 996, 831, 665
• GCD of 692, 792, 784, 263
• GCD of 833, 760, 112, 692
• GCD of 296, 118, 909, 457

Given numbers are 316, 784, 624, 272
The greatest common divisor of numbers 316, 784, 624, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 784, 624, 272 is 4.

1. What is the GCD of 316, 784, 624, 272?

GCD of given numbers 316, 784, 624, 272 is 4

2. How to calculate the greatest common divisor of 316, 784, 624, 272?

We can find the highest common divisor of 316, 784, 624, 272 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 316, 784, 624, 272 i.e 4.

3. How can I use the GCD of 316, 784, 624, 272Calculator?

Out the numbers 316, 784, 624, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.