GCD of 514, 874, 61, 938 Calculator

Given Input numbers are 514, 874, 61, 938

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 514, 874, 61, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 874, 61, 938 is 1.

Therefore, GCD of numbers 514, 874, 61, 938 is 1

Given Input Data is 514, 874, 61, 938

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 61 is 61

Prime Factorization of 938 is 2 x 7 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(514, 874) = 224618

GCD(514, 874) = ( 514 x 874 ) / 224618

GCD(514, 874) = 449236 / 224618

GCD(514, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 514, 874, 61, 938 is 1

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1. What is the GCD of 514, 874, 61, 938?

GCD of 514, 874, 61, 938 is 1

2. Where do I get the detailed procedure to find GCD of 514, 874, 61, 938?

You can find a detailed procedure to find GCD of 514, 874, 61, 938 on our page.

3. How to find GCD of 514, 874, 61, 938 on a calculator?

You can find the GCD of 514, 874, 61, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.