GCD of 590, 142, 972, 980 Calculator

Given Input numbers are 590, 142, 972, 980

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 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

GCD of numbers is the greatest common divisor

So, the GCD (590, 142, 972, 980) = 2.

Given numbers are 590, 142, 972, 980

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 142 are 2 x 71

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

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

The highest common occurrence is 2¹

Therefore, GCD of 590, 142, 972, 980 is 2.

Given numbers are 590, 142, 972, 980

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

Apply this formula for all numbers.

Step1:

LCM(590, 142) = 41890

GCD(590, 142) = ( 590 x 142 ) / 41890

= 590 / 142

= 590

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 590, 142, 972, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 999, 391, 776
• GCD of 464, 415, 552, 660
• GCD of 944, 229, 250, 617
• GCD of 394, 394, 194, 131
• GCD of 182, 472, 182, 930

Given numbers are 590, 142, 972, 980
The greatest common divisor of numbers 590, 142, 972, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 142, 972, 980 is 2.

1. What is the GCD of 590, 142, 972, 980?

GCD of given numbers 590, 142, 972, 980 is 2

2. How to calculate the greatest common divisor of 590, 142, 972, 980?

We can find the highest common divisor of 590, 142, 972, 980 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 590, 142, 972, 980 i.e 2.

3. How can I use the GCD of 590, 142, 972, 980Calculator?

Out the numbers 590, 142, 972, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.