GCD of 660, 812, 724, 560 Calculator

Given Input numbers are 660, 812, 724, 560

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

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (660, 812, 724, 560) = 4.

Given numbers are 660, 812, 724, 560

The list of prime factors of all numbers are

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

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 724 are 2 x 2 x 181

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 660, 812, 724, 560 is 4.

Given numbers are 660, 812, 724, 560

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

Apply this formula for all numbers.

Step1:

LCM(660, 812) = 133980

GCD(660, 812) = ( 660 x 812 ) / 133980

= 660 / 812

= 660

Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

Step3:

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

= 4 / 560

= 4

So, Greatest Common Divisor of 660, 812, 724, 560 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 904, 536, 244
• GCD of 196, 324, 173, 868
• GCD of 306, 709, 178, 855
• GCD of 779, 279, 577, 417
• GCD of 485, 856, 594, 375

Given numbers are 660, 812, 724, 560
The greatest common divisor of numbers 660, 812, 724, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 812, 724, 560 is 4.

1. What is the GCD of 660, 812, 724, 560?

GCD of given numbers 660, 812, 724, 560 is 4

2. How to calculate the greatest common divisor of 660, 812, 724, 560?

We can find the highest common divisor of 660, 812, 724, 560 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 660, 812, 724, 560 i.e 4.

3. How can I use the GCD of 660, 812, 724, 560Calculator?

Out the numbers 660, 812, 724, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.