GCD of 897, 438, 972, 676 Calculator

Given Input numbers are 897, 438, 972, 676

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (897, 438, 972, 676) = 1.

Given numbers are 897, 438, 972, 676

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 676 are 2 x 2 x 13 x 13

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

Given numbers are 897, 438, 972, 676

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

Apply this formula for all numbers.

Step1:

LCM(897, 438) = 130962

GCD(897, 438) = ( 897 x 438 ) / 130962

= 897 / 438

= 897

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 676) = 2028

GCD(3, 676) = ( 3 x 676 ) / 2028

= 3 / 676

= 3

So, Greatest Common Divisor of 897, 438, 972, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 656, 977, 659
• GCD of 469, 646, 516, 494
• GCD of 560, 383, 242, 779
• GCD of 398, 659, 742, 727
• GCD of 569, 189, 236, 988

Given numbers are 897, 438, 972, 676
The greatest common divisor of numbers 897, 438, 972, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 438, 972, 676 is 1.

1. What is the GCD of 897, 438, 972, 676?

GCD of given numbers 897, 438, 972, 676 is 1

2. How to calculate the greatest common divisor of 897, 438, 972, 676?

We can find the highest common divisor of 897, 438, 972, 676 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 897, 438, 972, 676 i.e 1.

3. How can I use the GCD of 897, 438, 972, 676Calculator?

Out the numbers 897, 438, 972, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.