GCD of 756, 672, 702, 819 Calculator

Given Input numbers are 756, 672, 702, 819

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 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

GCD of numbers is the greatest common divisor

So, the GCD (756, 672, 702, 819) = 3.

Given numbers are 756, 672, 702, 819

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 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 819 are 3 x 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 756, 672, 702, 819 is 3.

Given numbers are 756, 672, 702, 819

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

Apply this formula for all numbers.

Step1:

LCM(756, 672) = 6048

GCD(756, 672) = ( 756 x 672 ) / 6048

= 756 / 672

= 756

Step2:

LCM(84, 702) = 9828

GCD(84, 702) = ( 84 x 702 ) / 9828

= 84 / 702

= 84

Step3:

LCM(6, 819) = 1638

GCD(6, 819) = ( 6 x 819 ) / 1638

= 6 / 819

= 6

So, Greatest Common Divisor of 756, 672, 702, 819 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 772, 432, 479
• GCD of 515, 174, 598, 691
• GCD of 451, 608, 286, 586
• GCD of 133, 664, 310, 292
• GCD of 942, 662, 742, 870

Given numbers are 756, 672, 702, 819
The greatest common divisor of numbers 756, 672, 702, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 672, 702, 819 is 3.

1. What is the GCD of 756, 672, 702, 819?

GCD of given numbers 756, 672, 702, 819 is 3

2. How to calculate the greatest common divisor of 756, 672, 702, 819?

We can find the highest common divisor of 756, 672, 702, 819 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, 672, 702, 819 i.e 3.

3. How can I use the GCD of 756, 672, 702, 819Calculator?

Out the numbers 756, 672, 702, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.