GCD of 35, 974, 375, 645 Calculator

Given Input numbers are 35, 974, 375, 645

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 974

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

1, 2, 487, 974

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 35, 974, 375, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 974, 375, 645 is 1.

Therefore, GCD of numbers 35, 974, 375, 645 is 1

Given Input Data is 35, 974, 375, 645

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 974 is 2 x 487

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 645 is 3 x 5 x 43

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(35, 974) = 34090

GCD(35, 974) = ( 35 x 974 ) / 34090

GCD(35, 974) = 34090 / 34090

GCD(35, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 35, 974, 375, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 249, 890, 264
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• GCD of 39, 140, 739, 184

1. What is the GCD of 35, 974, 375, 645?

GCD of 35, 974, 375, 645 is 1

2. Where do I get the detailed procedure to find GCD of 35, 974, 375, 645?

You can find a detailed procedure to find GCD of 35, 974, 375, 645 on our page.

3. How to find GCD of 35, 974, 375, 645 on a calculator?

You can find the GCD of 35, 974, 375, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.