GCD of 142, 360, 757, 236 Calculator

Given Input numbers are 142, 360, 757, 236

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 142, 360, 757, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 360, 757, 236 is 1.

Therefore, GCD of numbers 142, 360, 757, 236 is 1

Given Input Data is 142, 360, 757, 236

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 757 is 757

Prime Factorization of 236 is 2 x 2 x 59

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(142, 360) = 25560

GCD(142, 360) = ( 142 x 360 ) / 25560

GCD(142, 360) = 51120 / 25560

GCD(142, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

GCD of 142, 360, 757, 236 is 1

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1. What is the GCD of 142, 360, 757, 236?

GCD of 142, 360, 757, 236 is 1

2. Where do I get the detailed procedure to find GCD of 142, 360, 757, 236?

You can find a detailed procedure to find GCD of 142, 360, 757, 236 on our page.

3. How to find GCD of 142, 360, 757, 236 on a calculator?

You can find the GCD of 142, 360, 757, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.