GCD of 995, 975, 491, 742 Calculator

Given Input numbers are 995, 975, 491, 742

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 995, 975, 491, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 975, 491, 742 is 1.

Therefore, GCD of numbers 995, 975, 491, 742 is 1

Given Input Data is 995, 975, 491, 742

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 491 is 491

Prime Factorization of 742 is 2 x 7 x 53

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(995, 975) = 194025

GCD(995, 975) = ( 995 x 975 ) / 194025

GCD(995, 975) = 970125 / 194025

GCD(995, 975) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 491

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

LCM(5, 491) = 2455

GCD(5, 491) = ( 5 x 491 ) / 2455

GCD(5, 491) = 2455 / 2455

GCD(5, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 995, 975, 491, 742 is 1

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1. What is the GCD of 995, 975, 491, 742?

GCD of 995, 975, 491, 742 is 1

2. Where do I get the detailed procedure to find GCD of 995, 975, 491, 742?

You can find a detailed procedure to find GCD of 995, 975, 491, 742 on our page.

3. How to find GCD of 995, 975, 491, 742 on a calculator?

You can find the GCD of 995, 975, 491, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.