GCD of 295, 349, 87, 916 Calculator

Given Input numbers are 295, 349, 87, 916

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 295, 349, 87, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 349, 87, 916 is 1.

Therefore, GCD of numbers 295, 349, 87, 916 is 1

Given Input Data is 295, 349, 87, 916

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 349 is 349

Prime Factorization of 87 is 3 x 29

Prime Factorization of 916 is 2 x 2 x 229

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(295, 349) = 102955

GCD(295, 349) = ( 295 x 349 ) / 102955

GCD(295, 349) = 102955 / 102955

GCD(295, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 295, 349, 87, 916 is 1

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• GCD of 160, 499, 97, 925
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1. What is the GCD of 295, 349, 87, 916?

GCD of 295, 349, 87, 916 is 1

2. Where do I get the detailed procedure to find GCD of 295, 349, 87, 916?

You can find a detailed procedure to find GCD of 295, 349, 87, 916 on our page.

3. How to find GCD of 295, 349, 87, 916 on a calculator?

You can find the GCD of 295, 349, 87, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.