GCD of 940, 700, 152 Calculator

Given Input numbers are 940, 700, 152

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 940, 700, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 700, 152 is 4.

Therefore, GCD of numbers 940, 700, 152 is 4

Given Input Data is 940, 700, 152

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 152 is 2 x 2 x 2 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(940, 700) = 32900

GCD(940, 700) = ( 940 x 700 ) / 32900

GCD(940, 700) = 658000 / 32900

GCD(940, 700) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 152

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

LCM(20, 152) = 760

GCD(20, 152) = ( 20 x 152 ) / 760

GCD(20, 152) = 3040 / 760

GCD(20, 152) = 4

GCD of 940, 700, 152 is 4

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1. What is the GCD of 940, 700, 152?

GCD of 940, 700, 152 is 4

2. Where do I get the detailed procedure to find GCD of 940, 700, 152?

You can find a detailed procedure to find GCD of 940, 700, 152 on our page.

3. How to find GCD of 940, 700, 152 on a calculator?

You can find the GCD of 940, 700, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.