GCD of 708, 756, 315, 354 Calculator

Given Input numbers are 708, 756, 315, 354

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

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 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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (708, 756, 315, 354) = 3.

Given numbers are 708, 756, 315, 354

The list of prime factors of all numbers are

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

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 708, 756, 315, 354 is 3.

Given numbers are 708, 756, 315, 354

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

Apply this formula for all numbers.

Step1:

LCM(708, 756) = 44604

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

= 708 / 756

= 708

Step2:

LCM(12, 315) = 1260

GCD(12, 315) = ( 12 x 315 ) / 1260

= 12 / 315

= 12

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 708, 756, 315, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 764, 314, 589
• GCD of 634, 770, 565, 636
• GCD of 915, 614, 856, 356
• GCD of 481, 601, 633, 369
• GCD of 917, 858, 441, 153

Given numbers are 708, 756, 315, 354
The greatest common divisor of numbers 708, 756, 315, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 756, 315, 354 is 3.

1. What is the GCD of 708, 756, 315, 354?

GCD of given numbers 708, 756, 315, 354 is 3

2. How to calculate the greatest common divisor of 708, 756, 315, 354?

We can find the highest common divisor of 708, 756, 315, 354 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 708, 756, 315, 354 i.e 3.

3. How can I use the GCD of 708, 756, 315, 354Calculator?

Out the numbers 708, 756, 315, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.