GCD of 756, 874, 688 Calculator

Given Input numbers are 756, 874, 688

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 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (756, 874, 688) = 2.

Given numbers are 756, 874, 688

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 874 are 2 x 19 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 756, 874, 688 is 2.

Given numbers are 756, 874, 688

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

Apply this formula for all numbers.

Step1:

LCM(756, 874) = 330372

GCD(756, 874) = ( 756 x 874 ) / 330372

= 756 / 874

= 756

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 756, 874, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 140, 320
• GCD of 203, 242, 582
• GCD of 340, 195, 548
• GCD of 226, 877, 497
• GCD of 806, 751, 939

Given numbers are 756, 874, 688
The greatest common divisor of numbers 756, 874, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 874, 688 is 2.

1. What is the GCD of 756, 874, 688?

GCD of given numbers 756, 874, 688 is 2

2. How to calculate the greatest common divisor of 756, 874, 688?

We can find the highest common divisor of 756, 874, 688 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, 874, 688 i.e 2.

3. How can I use the GCD of 756, 874, 688Calculator?

Out the numbers 756, 874, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.