GCD of 756, 699, 21, 795 Calculator

Given Input numbers are 756, 699, 21, 795

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 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

GCD of numbers is the greatest common divisor

So, the GCD (756, 699, 21, 795) = 3.

Given numbers are 756, 699, 21, 795

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 699 are 3 x 233

Prime factors of 21 are 3 x 7

Prime factors of 795 are 3 x 5 x 53

The highest common occurrence is 3¹

Therefore, GCD of 756, 699, 21, 795 is 3.

Given numbers are 756, 699, 21, 795

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

Apply this formula for all numbers.

Step1:

LCM(756, 699) = 176148

GCD(756, 699) = ( 756 x 699 ) / 176148

= 756 / 699

= 756

Step2:

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

= 3 / 21

= 3

Step3:

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

= 3 / 795

= 3

So, Greatest Common Divisor of 756, 699, 21, 795 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 759, 20, 147
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Given numbers are 756, 699, 21, 795
The greatest common divisor of numbers 756, 699, 21, 795 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 699, 21, 795 is 3.

1. What is the GCD of 756, 699, 21, 795?

GCD of given numbers 756, 699, 21, 795 is 3

2. How to calculate the greatest common divisor of 756, 699, 21, 795?

We can find the highest common divisor of 756, 699, 21, 795 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, 699, 21, 795 i.e 3.

3. How can I use the GCD of 756, 699, 21, 795Calculator?

Out the numbers 756, 699, 21, 795 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.