GCD of 975, 676, 225, 198 Calculator

Given Input numbers are 975, 676, 225, 198

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 676 :

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

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

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (975, 676, 225, 198) = 1.

Given numbers are 975, 676, 225, 198

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

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

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

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 975, 676, 225, 198

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

Apply this formula for all numbers.

Step1:

LCM(975, 676) = 50700

GCD(975, 676) = ( 975 x 676 ) / 50700

= 975 / 676

= 975

Step2:

LCM(13, 225) = 2925

GCD(13, 225) = ( 13 x 225 ) / 2925

= 13 / 225

= 13

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 975, 676, 225, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 816, 540, 883
• GCD of 380, 518, 964, 991
• GCD of 943, 955, 258, 233
• GCD of 131, 340, 760, 674
• GCD of 908, 229, 217, 160

Given numbers are 975, 676, 225, 198
The greatest common divisor of numbers 975, 676, 225, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 676, 225, 198 is 1.

1. What is the GCD of 975, 676, 225, 198?

GCD of given numbers 975, 676, 225, 198 is 1

2. How to calculate the greatest common divisor of 975, 676, 225, 198?

We can find the highest common divisor of 975, 676, 225, 198 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 975, 676, 225, 198 i.e 1.

3. How can I use the GCD of 975, 676, 225, 198Calculator?

Out the numbers 975, 676, 225, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.