GCD of 277, 708, 149, 971 Calculator

Given Input numbers are 277, 708, 149, 971

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

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 971

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

1, 971

Greatest Common Divisior

We found the divisors of 277, 708, 149, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 708, 149, 971 is 1.

Therefore, GCD of numbers 277, 708, 149, 971 is 1

Given Input Data is 277, 708, 149, 971

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

Prime Factorization of 277 is 277

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 149 is 149

Prime Factorization of 971 is 971

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(277, 708) = 196116

GCD(277, 708) = ( 277 x 708 ) / 196116

GCD(277, 708) = 196116 / 196116

GCD(277, 708) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 277, 708, 149, 971 is 1

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1. What is the GCD of 277, 708, 149, 971?

GCD of 277, 708, 149, 971 is 1

2. Where do I get the detailed procedure to find GCD of 277, 708, 149, 971?

You can find a detailed procedure to find GCD of 277, 708, 149, 971 on our page.

3. How to find GCD of 277, 708, 149, 971 on a calculator?

You can find the GCD of 277, 708, 149, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.