GCD of 972, 677, 968, 575 Calculator

Given Input numbers are 972, 677, 968, 575

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

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 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

GCD of numbers is the greatest common divisor

So, the GCD (972, 677, 968, 575) = 1.

Given numbers are 972, 677, 968, 575

The list of prime factors of all numbers are

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

Prime factors of 677 are 677

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 575 are 5 x 5 x 23

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

Given numbers are 972, 677, 968, 575

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

Apply this formula for all numbers.

Step1:

LCM(972, 677) = 658044

GCD(972, 677) = ( 972 x 677 ) / 658044

= 972 / 677

= 972

Step2:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

Step3:

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

= 1 / 575

= 1

So, Greatest Common Divisor of 972, 677, 968, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 982, 411, 902
• GCD of 780, 538, 310, 680
• GCD of 135, 624, 538, 358
• GCD of 783, 348, 988, 294
• GCD of 707, 967, 243, 541

Given numbers are 972, 677, 968, 575
The greatest common divisor of numbers 972, 677, 968, 575 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 677, 968, 575 is 1.

1. What is the GCD of 972, 677, 968, 575?

GCD of given numbers 972, 677, 968, 575 is 1

2. How to calculate the greatest common divisor of 972, 677, 968, 575?

We can find the highest common divisor of 972, 677, 968, 575 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 972, 677, 968, 575 i.e 1.

3. How can I use the GCD of 972, 677, 968, 575Calculator?

Out the numbers 972, 677, 968, 575 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.