GCD of 268, 974, 395, 141 Calculator

Given Input numbers are 268, 974, 395, 141

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 268, 974, 395, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 974, 395, 141 is 1.

Therefore, GCD of numbers 268, 974, 395, 141 is 1

Given Input Data is 268, 974, 395, 141

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 974 is 2 x 487

Prime Factorization of 395 is 5 x 79

Prime Factorization of 141 is 3 x 47

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(268, 974) = 130516

GCD(268, 974) = ( 268 x 974 ) / 130516

GCD(268, 974) = 261032 / 130516

GCD(268, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 268, 974, 395, 141 is 1

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1. What is the GCD of 268, 974, 395, 141?

GCD of 268, 974, 395, 141 is 1

2. Where do I get the detailed procedure to find GCD of 268, 974, 395, 141?

You can find a detailed procedure to find GCD of 268, 974, 395, 141 on our page.

3. How to find GCD of 268, 974, 395, 141 on a calculator?

You can find the GCD of 268, 974, 395, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.