GCD of 316, 276, 472, 784 Calculator

Given Input numbers are 316, 276, 472, 784

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (316, 276, 472, 784) = 4.

Given numbers are 316, 276, 472, 784

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 472 are 2 x 2 x 2 x 59

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

The highest common occurrence is 2²

Therefore, GCD of 316, 276, 472, 784 is 4.

Given numbers are 316, 276, 472, 784

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

Apply this formula for all numbers.

Step1:

LCM(316, 276) = 21804

GCD(316, 276) = ( 316 x 276 ) / 21804

= 316 / 276

= 316

Step2:

LCM(4, 472) = 472

GCD(4, 472) = ( 4 x 472 ) / 472

= 4 / 472

= 4

Step3:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

So, Greatest Common Divisor of 316, 276, 472, 784 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 469, 508, 769
• GCD of 588, 906, 207, 656
• GCD of 957, 668, 226, 904
• GCD of 523, 163, 334, 315
• GCD of 878, 162, 182, 574

Given numbers are 316, 276, 472, 784
The greatest common divisor of numbers 316, 276, 472, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 276, 472, 784 is 4.

1. What is the GCD of 316, 276, 472, 784?

GCD of given numbers 316, 276, 472, 784 is 4

2. How to calculate the greatest common divisor of 316, 276, 472, 784?

We can find the highest common divisor of 316, 276, 472, 784 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, 276, 472, 784 i.e 4.

3. How can I use the GCD of 316, 276, 472, 784Calculator?

Out the numbers 316, 276, 472, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.