GCD of 980, 972, 96, 130 Calculator

Given Input numbers are 980, 972, 96, 130

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 130 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (980, 972, 96, 130) = 2.

Given numbers are 980, 972, 96, 130

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 980, 972, 96, 130 is 2.

Given numbers are 980, 972, 96, 130

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

Apply this formula for all numbers.

Step1:

LCM(980, 972) = 238140

GCD(980, 972) = ( 980 x 972 ) / 238140

= 980 / 972

= 980

Step2:

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

= 4 / 96

= 4

Step3:

LCM(4, 130) = 260

GCD(4, 130) = ( 4 x 130 ) / 260

= 4 / 130

= 4

So, Greatest Common Divisor of 980, 972, 96, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 475, 43, 579
• GCD of 749, 238, 69, 302
• GCD of 902, 369, 20, 578
• GCD of 465, 944, 24, 479
• GCD of 939, 182, 33, 361

Given numbers are 980, 972, 96, 130
The greatest common divisor of numbers 980, 972, 96, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 972, 96, 130 is 2.

1. What is the GCD of 980, 972, 96, 130?

GCD of given numbers 980, 972, 96, 130 is 2

2. How to calculate the greatest common divisor of 980, 972, 96, 130?

We can find the highest common divisor of 980, 972, 96, 130 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 980, 972, 96, 130 i.e 2.

3. How can I use the GCD of 980, 972, 96, 130Calculator?

Out the numbers 980, 972, 96, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.