GCD of 238, 508, 231, 975 Calculator

Given Input numbers are 238, 508, 231, 975

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 231 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (238, 508, 231, 975) = 1.

Given numbers are 238, 508, 231, 975

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 508 are 2 x 2 x 127

Prime factors of 231 are 3 x 7 x 11

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

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

Given numbers are 238, 508, 231, 975

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

Apply this formula for all numbers.

Step1:

LCM(238, 508) = 60452

GCD(238, 508) = ( 238 x 508 ) / 60452

= 238 / 508

= 238

Step2:

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

= 2 / 231

= 2

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 238, 508, 231, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 628, 205, 271
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Given numbers are 238, 508, 231, 975
The greatest common divisor of numbers 238, 508, 231, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 508, 231, 975 is 1.

1. What is the GCD of 238, 508, 231, 975?

GCD of given numbers 238, 508, 231, 975 is 1

2. How to calculate the greatest common divisor of 238, 508, 231, 975?

We can find the highest common divisor of 238, 508, 231, 975 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 238, 508, 231, 975 i.e 1.

3. How can I use the GCD of 238, 508, 231, 975Calculator?

Out the numbers 238, 508, 231, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.