GCD of 970, 130, 364, 840 Calculator

Given Input numbers are 970, 130, 364, 840

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 130 :

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

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (970, 130, 364, 840) = 2.

Given numbers are 970, 130, 364, 840

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 130 are 2 x 5 x 13

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 970, 130, 364, 840 is 2.

Given numbers are 970, 130, 364, 840

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

Apply this formula for all numbers.

Step1:

LCM(970, 130) = 12610

GCD(970, 130) = ( 970 x 130 ) / 12610

= 970 / 130

= 970

Step2:

LCM(10, 364) = 1820

GCD(10, 364) = ( 10 x 364 ) / 1820

= 10 / 364

= 10

Step3:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

So, Greatest Common Divisor of 970, 130, 364, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 783, 126, 840
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Given numbers are 970, 130, 364, 840
The greatest common divisor of numbers 970, 130, 364, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 130, 364, 840 is 2.

1. What is the GCD of 970, 130, 364, 840?

GCD of given numbers 970, 130, 364, 840 is 2

2. How to calculate the greatest common divisor of 970, 130, 364, 840?

We can find the highest common divisor of 970, 130, 364, 840 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 970, 130, 364, 840 i.e 2.

3. How can I use the GCD of 970, 130, 364, 840Calculator?

Out the numbers 970, 130, 364, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.