GCD of 972, 467, 225, 698 Calculator

Given Input numbers are 972, 467, 225, 698

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 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (972, 467, 225, 698) = 1.

Given numbers are 972, 467, 225, 698

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 467 are 467

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 698 are 2 x 349

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

Given numbers are 972, 467, 225, 698

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

Apply this formula for all numbers.

Step1:

LCM(972, 467) = 453924

GCD(972, 467) = ( 972 x 467 ) / 453924

= 972 / 467

= 972

Step2:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 972, 467, 225, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 264, 952, 413
• GCD of 800, 928, 257, 133
• GCD of 345, 446, 353, 943
• GCD of 188, 445, 130, 995
• GCD of 979, 415, 996, 308

Given numbers are 972, 467, 225, 698
The greatest common divisor of numbers 972, 467, 225, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 467, 225, 698 is 1.

1. What is the GCD of 972, 467, 225, 698?

GCD of given numbers 972, 467, 225, 698 is 1

2. How to calculate the greatest common divisor of 972, 467, 225, 698?

We can find the highest common divisor of 972, 467, 225, 698 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, 467, 225, 698 i.e 1.

3. How can I use the GCD of 972, 467, 225, 698Calculator?

Out the numbers 972, 467, 225, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.