GCD of 851, 974, 167, 114 Calculator

Given Input numbers are 851, 974, 167, 114

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

Divisors of 851

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

1, 23, 37, 851

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 851, 974, 167, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 851, 974, 167, 114 is 1.

Therefore, GCD of numbers 851, 974, 167, 114 is 1

Given Input Data is 851, 974, 167, 114

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

Prime Factorization of 851 is 23 x 37

Prime Factorization of 974 is 2 x 487

Prime Factorization of 167 is 167

Prime Factorization of 114 is 2 x 3 x 19

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(851, 974) = 828874

GCD(851, 974) = ( 851 x 974 ) / 828874

GCD(851, 974) = 828874 / 828874

GCD(851, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 851, 974, 167, 114 is 1

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• GCD of 732, 123, 158, 103
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1. What is the GCD of 851, 974, 167, 114?

GCD of 851, 974, 167, 114 is 1

2. Where do I get the detailed procedure to find GCD of 851, 974, 167, 114?

You can find a detailed procedure to find GCD of 851, 974, 167, 114 on our page.

3. How to find GCD of 851, 974, 167, 114 on a calculator?

You can find the GCD of 851, 974, 167, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.