GCD of 742, 130, 676 Calculator

Given Input numbers are 742, 130, 676

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

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 (742, 130, 676) = 2.

Given numbers are 742, 130, 676

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 130 are 2 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 742, 130, 676 is 2.

Given numbers are 742, 130, 676

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

Apply this formula for all numbers.

Step1:

LCM(742, 130) = 48230

GCD(742, 130) = ( 742 x 130 ) / 48230

= 742 / 130

= 742

Step2:

LCM(2, 676) = 676

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

= 2 / 676

= 2

So, Greatest Common Divisor of 742, 130, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 251, 264
• GCD of 321, 772, 805
• GCD of 659, 453, 941
• GCD of 375, 312, 871
• GCD of 443, 165, 546

Given numbers are 742, 130, 676
The greatest common divisor of numbers 742, 130, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 130, 676 is 2.

1. What is the GCD of 742, 130, 676?

GCD of given numbers 742, 130, 676 is 2

2. How to calculate the greatest common divisor of 742, 130, 676?

We can find the highest common divisor of 742, 130, 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 742, 130, 676 i.e 2.

3. How can I use the GCD of 742, 130, 676Calculator?

Out the numbers 742, 130, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.