GCD of 770, 950, 758, 113 Calculator

Given Input numbers are 770, 950, 758, 113

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 770, 950, 758, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 950, 758, 113 is 1.

Therefore, GCD of numbers 770, 950, 758, 113 is 1

Given Input Data is 770, 950, 758, 113

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 758 is 2 x 379

Prime Factorization of 113 is 113

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(770, 950) = 73150

GCD(770, 950) = ( 770 x 950 ) / 73150

GCD(770, 950) = 731500 / 73150

GCD(770, 950) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 758

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

LCM(10, 758) = 3790

GCD(10, 758) = ( 10 x 758 ) / 3790

GCD(10, 758) = 7580 / 3790

GCD(10, 758) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 770, 950, 758, 113 is 1

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1. What is the GCD of 770, 950, 758, 113?

GCD of 770, 950, 758, 113 is 1

2. Where do I get the detailed procedure to find GCD of 770, 950, 758, 113?

You can find a detailed procedure to find GCD of 770, 950, 758, 113 on our page.

3. How to find GCD of 770, 950, 758, 113 on a calculator?

You can find the GCD of 770, 950, 758, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.