GCD of 782, 676, 660, 456 Calculator

Given Input numbers are 782, 676, 660, 456

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (782, 676, 660, 456) = 2.

Given numbers are 782, 676, 660, 456

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 782, 676, 660, 456 is 2.

Given numbers are 782, 676, 660, 456

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

Apply this formula for all numbers.

Step1:

LCM(782, 676) = 264316

GCD(782, 676) = ( 782 x 676 ) / 264316

= 782 / 676

= 782

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2

So, Greatest Common Divisor of 782, 676, 660, 456 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 403, 927, 564
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Given numbers are 782, 676, 660, 456
The greatest common divisor of numbers 782, 676, 660, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 676, 660, 456 is 2.

1. What is the GCD of 782, 676, 660, 456?

GCD of given numbers 782, 676, 660, 456 is 2

2. How to calculate the greatest common divisor of 782, 676, 660, 456?

We can find the highest common divisor of 782, 676, 660, 456 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 782, 676, 660, 456 i.e 2.

3. How can I use the GCD of 782, 676, 660, 456Calculator?

Out the numbers 782, 676, 660, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.