GCD of 750, 124, 805, 978 Calculator

Given Input numbers are 750, 124, 805, 978

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 750, 124, 805, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 124, 805, 978 is 1.

Therefore, GCD of numbers 750, 124, 805, 978 is 1

Given Input Data is 750, 124, 805, 978

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 978 is 2 x 3 x 163

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(750, 124) = 46500

GCD(750, 124) = ( 750 x 124 ) / 46500

GCD(750, 124) = 93000 / 46500

GCD(750, 124) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 805

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

LCM(2, 805) = 1610

GCD(2, 805) = ( 2 x 805 ) / 1610

GCD(2, 805) = 1610 / 1610

GCD(2, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 750, 124, 805, 978 is 1

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1. What is the GCD of 750, 124, 805, 978?

GCD of 750, 124, 805, 978 is 1

2. Where do I get the detailed procedure to find GCD of 750, 124, 805, 978?

You can find a detailed procedure to find GCD of 750, 124, 805, 978 on our page.

3. How to find GCD of 750, 124, 805, 978 on a calculator?

You can find the GCD of 750, 124, 805, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.