GCD of 490, 311, 561, 972 Calculator

Given Input numbers are 490, 311, 561, 972

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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

GCD of numbers is the greatest common divisor

So, the GCD (490, 311, 561, 972) = 1.

Given numbers are 490, 311, 561, 972

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 311 are 311

Prime factors of 561 are 3 x 11 x 17

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

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

Given numbers are 490, 311, 561, 972

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

Apply this formula for all numbers.

Step1:

LCM(490, 311) = 152390

GCD(490, 311) = ( 490 x 311 ) / 152390

= 490 / 311

= 490

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 490, 311, 561, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 889, 251, 900
• GCD of 864, 183, 875, 355
• GCD of 542, 904, 920, 906
• GCD of 219, 141, 939, 536
• GCD of 940, 415, 487, 450

Given numbers are 490, 311, 561, 972
The greatest common divisor of numbers 490, 311, 561, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 311, 561, 972 is 1.

1. What is the GCD of 490, 311, 561, 972?

GCD of given numbers 490, 311, 561, 972 is 1

2. How to calculate the greatest common divisor of 490, 311, 561, 972?

We can find the highest common divisor of 490, 311, 561, 972 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 490, 311, 561, 972 i.e 1.

3. How can I use the GCD of 490, 311, 561, 972Calculator?

Out the numbers 490, 311, 561, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.