GCD of 974, 135, 595, 984 Calculator

Given Input numbers are 974, 135, 595, 984

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 974, 135, 595, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 135, 595, 984 is 1.

Therefore, GCD of numbers 974, 135, 595, 984 is 1

Given Input Data is 974, 135, 595, 984

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 974 is 2 x 487

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(974, 135) = 131490

GCD(974, 135) = ( 974 x 135 ) / 131490

GCD(974, 135) = 131490 / 131490

GCD(974, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 974, 135, 595, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 344, 891, 992
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• GCD of 174, 594, 143, 327
• GCD of 939, 605, 137, 120
• GCD of 820, 743, 382, 465

1. What is the GCD of 974, 135, 595, 984?

GCD of 974, 135, 595, 984 is 1

2. Where do I get the detailed procedure to find GCD of 974, 135, 595, 984?

You can find a detailed procedure to find GCD of 974, 135, 595, 984 on our page.

3. How to find GCD of 974, 135, 595, 984 on a calculator?

You can find the GCD of 974, 135, 595, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.