GCD of 812, 134, 298, 676 Calculator

Given Input numbers are 812, 134, 298, 676

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

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

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 (812, 134, 298, 676) = 2.

Given numbers are 812, 134, 298, 676

The list of prime factors of all numbers are

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

Prime factors of 134 are 2 x 67

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 812, 134, 298, 676 is 2.

Given numbers are 812, 134, 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(812, 134) = 54404

GCD(812, 134) = ( 812 x 134 ) / 54404

= 812 / 134

= 812

Step2:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

Step3:

LCM(2, 676) = 676

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

= 2 / 676

= 2

So, Greatest Common Divisor of 812, 134, 298, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 756, 106, 716
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Given numbers are 812, 134, 298, 676
The greatest common divisor of numbers 812, 134, 298, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 812, 134, 298, 676 is 2.

1. What is the GCD of 812, 134, 298, 676?

GCD of given numbers 812, 134, 298, 676 is 2

2. How to calculate the greatest common divisor of 812, 134, 298, 676?

We can find the highest common divisor of 812, 134, 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 812, 134, 298, 676 i.e 2.

3. How can I use the GCD of 812, 134, 298, 676Calculator?

Out the numbers 812, 134, 298, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.