GCD of 972, 809, 315, 898 Calculator

Given Input numbers are 972, 809, 315, 898

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 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (972, 809, 315, 898) = 1.

Given numbers are 972, 809, 315, 898

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 809 are 809

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 898 are 2 x 449

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

Given numbers are 972, 809, 315, 898

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

Apply this formula for all numbers.

Step1:

LCM(972, 809) = 786348

GCD(972, 809) = ( 972 x 809 ) / 786348

= 972 / 809

= 972

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 972, 809, 315, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 655, 368, 500
• GCD of 999, 486, 189, 998
• GCD of 367, 516, 557, 748
• GCD of 779, 348, 650, 117
• GCD of 984, 794, 757, 112

Given numbers are 972, 809, 315, 898
The greatest common divisor of numbers 972, 809, 315, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 809, 315, 898 is 1.

1. What is the GCD of 972, 809, 315, 898?

GCD of given numbers 972, 809, 315, 898 is 1

2. How to calculate the greatest common divisor of 972, 809, 315, 898?

We can find the highest common divisor of 972, 809, 315, 898 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, 809, 315, 898 i.e 1.

3. How can I use the GCD of 972, 809, 315, 898Calculator?

Out the numbers 972, 809, 315, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.