GCD of 995, 460, 57, 140 Calculator

Given Input numbers are 995, 460, 57, 140

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 995, 460, 57, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 460, 57, 140 is 1.

Therefore, GCD of numbers 995, 460, 57, 140 is 1

Given Input Data is 995, 460, 57, 140

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 57 is 3 x 19

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(995, 460) = 91540

GCD(995, 460) = ( 995 x 460 ) / 91540

GCD(995, 460) = 457700 / 91540

GCD(995, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 57

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

LCM(5, 57) = 285

GCD(5, 57) = ( 5 x 57 ) / 285

GCD(5, 57) = 285 / 285

GCD(5, 57) = 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 995, 460, 57, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 318, 28, 499
• GCD of 141, 936, 89, 523
• GCD of 133, 672, 24, 496
• GCD of 565, 201, 91, 726
• GCD of 806, 409, 56, 267

1. What is the GCD of 995, 460, 57, 140?

GCD of 995, 460, 57, 140 is 1

2. Where do I get the detailed procedure to find GCD of 995, 460, 57, 140?

You can find a detailed procedure to find GCD of 995, 460, 57, 140 on our page.

3. How to find GCD of 995, 460, 57, 140 on a calculator?

You can find the GCD of 995, 460, 57, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.