GCD of 646, 708, 780, 724 Calculator

Given Input numbers are 646, 708, 780, 724

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (646, 708, 780, 724) = 2.

Given numbers are 646, 708, 780, 724

The list of prime factors of all numbers are

Prime factors of 646 are 2 x 17 x 19

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 646, 708, 780, 724 is 2.

Given numbers are 646, 708, 780, 724

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

Apply this formula for all numbers.

Step1:

LCM(646, 708) = 228684

GCD(646, 708) = ( 646 x 708 ) / 228684

= 646 / 708

= 646

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 646, 708, 780, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 267, 246, 872
• GCD of 369, 602, 649, 459
• GCD of 699, 885, 198, 242
• GCD of 719, 217, 216, 250
• GCD of 323, 839, 192, 359

Given numbers are 646, 708, 780, 724
The greatest common divisor of numbers 646, 708, 780, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 708, 780, 724 is 2.

1. What is the GCD of 646, 708, 780, 724?

GCD of given numbers 646, 708, 780, 724 is 2

2. How to calculate the greatest common divisor of 646, 708, 780, 724?

We can find the highest common divisor of 646, 708, 780, 724 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 646, 708, 780, 724 i.e 2.

3. How can I use the GCD of 646, 708, 780, 724Calculator?

Out the numbers 646, 708, 780, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.