GCD of 125, 494, 972, 508 Calculator

Given Input numbers are 125, 494, 972, 508

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (125, 494, 972, 508) = 1.

Given numbers are 125, 494, 972, 508

The list of prime factors of all numbers are

Prime factors of 125 are 5 x 5 x 5

Prime factors of 494 are 2 x 13 x 19

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

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 125, 494, 972, 508

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

Apply this formula for all numbers.

Step1:

LCM(125, 494) = 61750

GCD(125, 494) = ( 125 x 494 ) / 61750

= 125 / 494

= 125

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 125, 494, 972, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 564, 420, 284
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Given numbers are 125, 494, 972, 508
The greatest common divisor of numbers 125, 494, 972, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 494, 972, 508 is 1.

1. What is the GCD of 125, 494, 972, 508?

GCD of given numbers 125, 494, 972, 508 is 1

2. How to calculate the greatest common divisor of 125, 494, 972, 508?

We can find the highest common divisor of 125, 494, 972, 508 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 125, 494, 972, 508 i.e 1.

3. How can I use the GCD of 125, 494, 972, 508Calculator?

Out the numbers 125, 494, 972, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.