GCD of 702, 724, 145, 140 Calculator

Given Input numbers are 702, 724, 145, 140

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 702, 724, 145, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 724, 145, 140 is 1.

Therefore, GCD of numbers 702, 724, 145, 140 is 1

Given Input Data is 702, 724, 145, 140

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 145 is 5 x 29

Prime Factorization of 140 is 2 x 2 x 5 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(702, 724) = 254124

GCD(702, 724) = ( 702 x 724 ) / 254124

GCD(702, 724) = 508248 / 254124

GCD(702, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 145

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

LCM(2, 145) = 290

GCD(2, 145) = ( 2 x 145 ) / 290

GCD(2, 145) = 290 / 290

GCD(2, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 702, 724, 145, 140 is 1

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• GCD of 285, 657, 420, 631
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• GCD of 381, 958, 239, 149

1. What is the GCD of 702, 724, 145, 140?

GCD of 702, 724, 145, 140 is 1

2. Where do I get the detailed procedure to find GCD of 702, 724, 145, 140?

You can find a detailed procedure to find GCD of 702, 724, 145, 140 on our page.

3. How to find GCD of 702, 724, 145, 140 on a calculator?

You can find the GCD of 702, 724, 145, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.