GCD of 649, 971, 291, 134 Calculator

Given Input numbers are 649, 971, 291, 134

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 649, 971, 291, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 971, 291, 134 is 1.

Therefore, GCD of numbers 649, 971, 291, 134 is 1

Given Input Data is 649, 971, 291, 134

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 971 is 971

Prime Factorization of 291 is 3 x 97

Prime Factorization of 134 is 2 x 67

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(649, 971) = 630179

GCD(649, 971) = ( 649 x 971 ) / 630179

GCD(649, 971) = 630179 / 630179

GCD(649, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 291

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

LCM(1, 291) = 291

GCD(1, 291) = ( 1 x 291 ) / 291

GCD(1, 291) = 291 / 291

GCD(1, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 649, 971, 291, 134 is 1

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1. What is the GCD of 649, 971, 291, 134?

GCD of 649, 971, 291, 134 is 1

2. Where do I get the detailed procedure to find GCD of 649, 971, 291, 134?

You can find a detailed procedure to find GCD of 649, 971, 291, 134 on our page.

3. How to find GCD of 649, 971, 291, 134 on a calculator?

You can find the GCD of 649, 971, 291, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.