GCD of 185, 142, 620, 753 Calculator

Given Input numbers are 185, 142, 620, 753

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 142

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

1, 2, 71, 142

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 185, 142, 620, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 142, 620, 753 is 1.

Therefore, GCD of numbers 185, 142, 620, 753 is 1

Given Input Data is 185, 142, 620, 753

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 142 is 2 x 71

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 753 is 3 x 251

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(185, 142) = 26270

GCD(185, 142) = ( 185 x 142 ) / 26270

GCD(185, 142) = 26270 / 26270

GCD(185, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 185, 142, 620, 753 is 1

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1. What is the GCD of 185, 142, 620, 753?

GCD of 185, 142, 620, 753 is 1

2. Where do I get the detailed procedure to find GCD of 185, 142, 620, 753?

You can find a detailed procedure to find GCD of 185, 142, 620, 753 on our page.

3. How to find GCD of 185, 142, 620, 753 on a calculator?

You can find the GCD of 185, 142, 620, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.