GCD of 142, 242, 252, 702 Calculator

Given Input numbers are 142, 242, 252, 702

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

Greatest Common Divisior

We found the divisors of 142, 242, 252, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 242, 252, 702 is 2.

Therefore, GCD of numbers 142, 242, 252, 702 is 2

Given Input Data is 142, 242, 252, 702

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

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(142, 242) = 17182

GCD(142, 242) = ( 142 x 242 ) / 17182

GCD(142, 242) = 34364 / 17182

GCD(142, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 142, 242, 252, 702 is 2

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1. What is the GCD of 142, 242, 252, 702?

GCD of 142, 242, 252, 702 is 2

2. Where do I get the detailed procedure to find GCD of 142, 242, 252, 702?

You can find a detailed procedure to find GCD of 142, 242, 252, 702 on our page.

3. How to find GCD of 142, 242, 252, 702 on a calculator?

You can find the GCD of 142, 242, 252, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.