GCD of 113, 972, 314, 572 Calculator

Given Input numbers are 113, 972, 314, 572

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

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

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 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (113, 972, 314, 572) = 1.

Given numbers are 113, 972, 314, 572

The list of prime factors of all numbers are

Prime factors of 113 are 113

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

Prime factors of 314 are 2 x 157

Prime factors of 572 are 2 x 2 x 11 x 13

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

Given numbers are 113, 972, 314, 572

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

Apply this formula for all numbers.

Step1:

LCM(113, 972) = 109836

GCD(113, 972) = ( 113 x 972 ) / 109836

= 113 / 972

= 113

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

= 1 / 572

= 1

So, Greatest Common Divisor of 113, 972, 314, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 143, 161, 687
• GCD of 205, 254, 237, 110
• GCD of 673, 883, 853, 209
• GCD of 184, 812, 534, 438
• GCD of 812, 830, 642, 151

Given numbers are 113, 972, 314, 572
The greatest common divisor of numbers 113, 972, 314, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 972, 314, 572 is 1.

1. What is the GCD of 113, 972, 314, 572?

GCD of given numbers 113, 972, 314, 572 is 1

2. How to calculate the greatest common divisor of 113, 972, 314, 572?

We can find the highest common divisor of 113, 972, 314, 572 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 113, 972, 314, 572 i.e 1.

3. How can I use the GCD of 113, 972, 314, 572Calculator?

Out the numbers 113, 972, 314, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.