GCD of 756, 700, 813, 216 Calculator

Given Input numbers are 756, 700, 813, 216

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (756, 700, 813, 216) = 1.

Given numbers are 756, 700, 813, 216

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 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 813 are 3 x 271

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 756, 700, 813, 216

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

Apply this formula for all numbers.

Step1:

LCM(756, 700) = 18900

GCD(756, 700) = ( 756 x 700 ) / 18900

= 756 / 700

= 756

Step2:

LCM(28, 813) = 22764

GCD(28, 813) = ( 28 x 813 ) / 22764

= 28 / 813

= 28

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 756, 700, 813, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 217, 708, 279
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• GCD of 774, 438, 639, 413
• GCD of 868, 678, 131, 796
• GCD of 731, 474, 742, 969

Given numbers are 756, 700, 813, 216
The greatest common divisor of numbers 756, 700, 813, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 700, 813, 216 is 1.

1. What is the GCD of 756, 700, 813, 216?

GCD of given numbers 756, 700, 813, 216 is 1

2. How to calculate the greatest common divisor of 756, 700, 813, 216?

We can find the highest common divisor of 756, 700, 813, 216 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, 700, 813, 216 i.e 1.

3. How can I use the GCD of 756, 700, 813, 216Calculator?

Out the numbers 756, 700, 813, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.