GCD of 992, 660, 298, 676 Calculator

Given Input numbers are 992, 660, 298, 676

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (992, 660, 298, 676) = 2.

Given numbers are 992, 660, 298, 676

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

Prime factors of 298 are 2 x 149

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

The highest common occurrence is 2¹

Therefore, GCD of 992, 660, 298, 676 is 2.

Given numbers are 992, 660, 298, 676

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

Apply this formula for all numbers.

Step1:

LCM(992, 660) = 163680

GCD(992, 660) = ( 992 x 660 ) / 163680

= 992 / 660

= 992

Step2:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 992, 660, 298, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 644, 905, 170
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Given numbers are 992, 660, 298, 676
The greatest common divisor of numbers 992, 660, 298, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 660, 298, 676 is 2.

1. What is the GCD of 992, 660, 298, 676?

GCD of given numbers 992, 660, 298, 676 is 2

2. How to calculate the greatest common divisor of 992, 660, 298, 676?

We can find the highest common divisor of 992, 660, 298, 676 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 992, 660, 298, 676 i.e 2.

3. How can I use the GCD of 992, 660, 298, 676Calculator?

Out the numbers 992, 660, 298, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.