GCD of 420, 844, 756, 660 Calculator

Given Input numbers are 420, 844, 756, 660

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (420, 844, 756, 660) = 4.

Given numbers are 420, 844, 756, 660

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 844 are 2 x 2 x 211

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 2²

Therefore, GCD of 420, 844, 756, 660 is 4.

Given numbers are 420, 844, 756, 660

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

Apply this formula for all numbers.

Step1:

LCM(420, 844) = 88620

GCD(420, 844) = ( 420 x 844 ) / 88620

= 420 / 844

= 420

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

= 4 / 660

= 4

So, Greatest Common Divisor of 420, 844, 756, 660 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 533, 771, 891
• GCD of 306, 593, 852, 940
• GCD of 827, 809, 119, 941
• GCD of 303, 585, 921, 322
• GCD of 951, 392, 282, 137

Given numbers are 420, 844, 756, 660
The greatest common divisor of numbers 420, 844, 756, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 844, 756, 660 is 4.

1. What is the GCD of 420, 844, 756, 660?

GCD of given numbers 420, 844, 756, 660 is 4

2. How to calculate the greatest common divisor of 420, 844, 756, 660?

We can find the highest common divisor of 420, 844, 756, 660 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 420, 844, 756, 660 i.e 4.

3. How can I use the GCD of 420, 844, 756, 660Calculator?

Out the numbers 420, 844, 756, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.