GCD of 688, 214, 821, 756 Calculator

Given Input numbers are 688, 214, 821, 756

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

Divisors of 688 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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

GCD of numbers is the greatest common divisor

So, the GCD (688, 214, 821, 756) = 1.

Given numbers are 688, 214, 821, 756

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 821 are 821

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 688, 214, 821, 756

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

Apply this formula for all numbers.

Step1:

LCM(688, 214) = 73616

GCD(688, 214) = ( 688 x 214 ) / 73616

= 688 / 214

= 688

Step2:

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

= 2 / 821

= 2

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 688, 214, 821, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 478, 292, 893
• GCD of 424, 198, 210, 553
• GCD of 703, 832, 820, 391
• GCD of 646, 441, 769, 595
• GCD of 676, 151, 956, 741

Given numbers are 688, 214, 821, 756
The greatest common divisor of numbers 688, 214, 821, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 214, 821, 756 is 1.

1. What is the GCD of 688, 214, 821, 756?

GCD of given numbers 688, 214, 821, 756 is 1

2. How to calculate the greatest common divisor of 688, 214, 821, 756?

We can find the highest common divisor of 688, 214, 821, 756 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 688, 214, 821, 756 i.e 1.

3. How can I use the GCD of 688, 214, 821, 756Calculator?

Out the numbers 688, 214, 821, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.