GCD of 975, 284, 297, 138 Calculator

Given Input numbers are 975, 284, 297, 138

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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (975, 284, 297, 138) = 1.

Given numbers are 975, 284, 297, 138

The list of prime factors of all numbers are

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

Prime factors of 284 are 2 x 2 x 71

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 975, 284, 297, 138

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

Apply this formula for all numbers.

Step1:

LCM(975, 284) = 276900

GCD(975, 284) = ( 975 x 284 ) / 276900

= 975 / 284

= 975

Step2:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 975, 284, 297, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 938, 407, 131
• GCD of 230, 230, 303, 430
• GCD of 481, 261, 900, 958
• GCD of 730, 304, 913, 638
• GCD of 249, 664, 606, 226

Given numbers are 975, 284, 297, 138
The greatest common divisor of numbers 975, 284, 297, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 284, 297, 138 is 1.

1. What is the GCD of 975, 284, 297, 138?

GCD of given numbers 975, 284, 297, 138 is 1

2. How to calculate the greatest common divisor of 975, 284, 297, 138?

We can find the highest common divisor of 975, 284, 297, 138 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, 284, 297, 138 i.e 1.

3. How can I use the GCD of 975, 284, 297, 138Calculator?

Out the numbers 975, 284, 297, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.