GCD of 975, 231, 553, 431 Calculator

Given Input numbers are 975, 231, 553, 431

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 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (975, 231, 553, 431) = 1.

Given numbers are 975, 231, 553, 431

The list of prime factors of all numbers are

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

Prime factors of 231 are 3 x 7 x 11

Prime factors of 553 are 7 x 79

Prime factors of 431 are 431

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

Given numbers are 975, 231, 553, 431

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

Apply this formula for all numbers.

Step1:

LCM(975, 231) = 75075

GCD(975, 231) = ( 975 x 231 ) / 75075

= 975 / 231

= 975

Step2:

LCM(3, 553) = 1659

GCD(3, 553) = ( 3 x 553 ) / 1659

= 3 / 553

= 3

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 975, 231, 553, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 470, 918, 674
• GCD of 492, 219, 733, 341
• GCD of 435, 612, 420, 957
• GCD of 983, 377, 928, 267
• GCD of 566, 155, 277, 381

Given numbers are 975, 231, 553, 431
The greatest common divisor of numbers 975, 231, 553, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 231, 553, 431 is 1.

1. What is the GCD of 975, 231, 553, 431?

GCD of given numbers 975, 231, 553, 431 is 1

2. How to calculate the greatest common divisor of 975, 231, 553, 431?

We can find the highest common divisor of 975, 231, 553, 431 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, 231, 553, 431 i.e 1.

3. How can I use the GCD of 975, 231, 553, 431Calculator?

Out the numbers 975, 231, 553, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.