GCD of 756, 708, 314 Calculator

Given Input numbers are 756, 708, 314

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (756, 708, 314) = 2.

Given numbers are 756, 708, 314

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 756, 708, 314 is 2.

Given numbers are 756, 708, 314

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

Apply this formula for all numbers.

Step1:

LCM(756, 708) = 44604

GCD(756, 708) = ( 756 x 708 ) / 44604

= 756 / 708

= 756

Step2:

LCM(12, 314) = 1884

GCD(12, 314) = ( 12 x 314 ) / 1884

= 12 / 314

= 12

So, Greatest Common Divisor of 756, 708, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 363, 271
• GCD of 399, 567, 571
• GCD of 346, 649, 512
• GCD of 347, 610, 778
• GCD of 497, 249, 447

Given numbers are 756, 708, 314
The greatest common divisor of numbers 756, 708, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 708, 314 is 2.

1. What is the GCD of 756, 708, 314?

GCD of given numbers 756, 708, 314 is 2

2. How to calculate the greatest common divisor of 756, 708, 314?

We can find the highest common divisor of 756, 708, 314 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 756, 708, 314 i.e 2.

3. How can I use the GCD of 756, 708, 314Calculator?

Out the numbers 756, 708, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.