GCD of 874, 746, 901, 715 Calculator

Given Input numbers are 874, 746, 901, 715

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 874, 746, 901, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 746, 901, 715 is 1.

Therefore, GCD of numbers 874, 746, 901, 715 is 1

Given Input Data is 874, 746, 901, 715

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 746 is 2 x 373

Prime Factorization of 901 is 17 x 53

Prime Factorization of 715 is 5 x 11 x 13

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(874, 746) = 326002

GCD(874, 746) = ( 874 x 746 ) / 326002

GCD(874, 746) = 652004 / 326002

GCD(874, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 874, 746, 901, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 371, 554, 816
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• GCD of 580, 943, 957, 321

1. What is the GCD of 874, 746, 901, 715?

GCD of 874, 746, 901, 715 is 1

2. Where do I get the detailed procedure to find GCD of 874, 746, 901, 715?

You can find a detailed procedure to find GCD of 874, 746, 901, 715 on our page.

3. How to find GCD of 874, 746, 901, 715 on a calculator?

You can find the GCD of 874, 746, 901, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.