GCD of 14, 504, 151, 971 Calculator

Given Input numbers are 14, 504, 151, 971

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

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 14, 504, 151, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 504, 151, 971 is 1.

Therefore, GCD of numbers 14, 504, 151, 971 is 1

Given Input Data is 14, 504, 151, 971

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 151 is 151

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(14, 504) = 504

GCD(14, 504) = ( 14 x 504 ) / 504

GCD(14, 504) = 7056 / 504

GCD(14, 504) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 151

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

LCM(14, 151) = 2114

GCD(14, 151) = ( 14 x 151 ) / 2114

GCD(14, 151) = 2114 / 2114

GCD(14, 151) = 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 14, 504, 151, 971 is 1

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• GCD of 57, 187, 196, 444
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• GCD of 13, 526, 171, 620

1. What is the GCD of 14, 504, 151, 971?

GCD of 14, 504, 151, 971 is 1

2. Where do I get the detailed procedure to find GCD of 14, 504, 151, 971?

You can find a detailed procedure to find GCD of 14, 504, 151, 971 on our page.

3. How to find GCD of 14, 504, 151, 971 on a calculator?

You can find the GCD of 14, 504, 151, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.