GCD of 760, 879, 760, 112 Calculator

Given Input numbers are 760, 879, 760, 112

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 760, 879, 760, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 879, 760, 112 is 1.

Therefore, GCD of numbers 760, 879, 760, 112 is 1

Given Input Data is 760, 879, 760, 112

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 879 is 3 x 293

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(760, 879) = 668040

GCD(760, 879) = ( 760 x 879 ) / 668040

GCD(760, 879) = 668040 / 668040

GCD(760, 879) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 760, 879, 760, 112 is 1

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1. What is the GCD of 760, 879, 760, 112?

GCD of 760, 879, 760, 112 is 1

2. Where do I get the detailed procedure to find GCD of 760, 879, 760, 112?

You can find a detailed procedure to find GCD of 760, 879, 760, 112 on our page.

3. How to find GCD of 760, 879, 760, 112 on a calculator?

You can find the GCD of 760, 879, 760, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.