GCD of 766, 851, 157, 112 Calculator

Given Input numbers are 766, 851, 157, 112

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

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 766, 851, 157, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 851, 157, 112 is 1.

Therefore, GCD of numbers 766, 851, 157, 112 is 1

Given Input Data is 766, 851, 157, 112

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 851 is 23 x 37

Prime Factorization of 157 is 157

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(766, 851) = 651866

GCD(766, 851) = ( 766 x 851 ) / 651866

GCD(766, 851) = 651866 / 651866

GCD(766, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 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 766, 851, 157, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 856, 924, 140
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• GCD of 298, 154, 114, 212

1. What is the GCD of 766, 851, 157, 112?

GCD of 766, 851, 157, 112 is 1

2. Where do I get the detailed procedure to find GCD of 766, 851, 157, 112?

You can find a detailed procedure to find GCD of 766, 851, 157, 112 on our page.

3. How to find GCD of 766, 851, 157, 112 on a calculator?

You can find the GCD of 766, 851, 157, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.