GCD of 875, 972, 290, 491 Calculator

Given Input numbers are 875, 972, 290, 491

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

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (875, 972, 290, 491) = 1.

Given numbers are 875, 972, 290, 491

The list of prime factors of all numbers are

Prime factors of 875 are 5 x 5 x 5 x 7

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

Prime factors of 290 are 2 x 5 x 29

Prime factors of 491 are 491

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 875, 972, 290, 491

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

Apply this formula for all numbers.

Step1:

LCM(875, 972) = 850500

GCD(875, 972) = ( 875 x 972 ) / 850500

= 875 / 972

= 875

Step2:

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

= 1 / 290

= 1

Step3:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

So, Greatest Common Divisor of 875, 972, 290, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 280, 321, 790
• GCD of 895, 258, 234, 387
• GCD of 460, 353, 384, 330
• GCD of 690, 794, 701, 908
• GCD of 465, 511, 814, 805

Given numbers are 875, 972, 290, 491
The greatest common divisor of numbers 875, 972, 290, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 972, 290, 491 is 1.

1. What is the GCD of 875, 972, 290, 491?

GCD of given numbers 875, 972, 290, 491 is 1

2. How to calculate the greatest common divisor of 875, 972, 290, 491?

We can find the highest common divisor of 875, 972, 290, 491 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 875, 972, 290, 491 i.e 1.

3. How can I use the GCD of 875, 972, 290, 491Calculator?

Out the numbers 875, 972, 290, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.