GCD of 742, 472, 140 Calculator

Given Input numbers are 742, 472, 140

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 742, 472, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 472, 140 is 2.

Therefore, GCD of numbers 742, 472, 140 is 2

Given Input Data is 742, 472, 140

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 140 is 2 x 2 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(742, 472) = 175112

GCD(742, 472) = ( 742 x 472 ) / 175112

GCD(742, 472) = 350224 / 175112

GCD(742, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

GCD of 742, 472, 140 is 2

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1. What is the GCD of 742, 472, 140?

GCD of 742, 472, 140 is 2

2. Where do I get the detailed procedure to find GCD of 742, 472, 140?

You can find a detailed procedure to find GCD of 742, 472, 140 on our page.

3. How to find GCD of 742, 472, 140 on a calculator?

You can find the GCD of 742, 472, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.