GCD of 126, 874, 66, 511 Calculator

Given Input numbers are 126, 874, 66, 511

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 126, 874, 66, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 874, 66, 511 is 1.

Therefore, GCD of numbers 126, 874, 66, 511 is 1

Given Input Data is 126, 874, 66, 511

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 511 is 7 x 73

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(126, 874) = 55062

GCD(126, 874) = ( 126 x 874 ) / 55062

GCD(126, 874) = 110124 / 55062

GCD(126, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 511

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

LCM(2, 511) = 1022

GCD(2, 511) = ( 2 x 511 ) / 1022

GCD(2, 511) = 1022 / 1022

GCD(2, 511) = 1

GCD of 126, 874, 66, 511 is 1

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1. What is the GCD of 126, 874, 66, 511?

GCD of 126, 874, 66, 511 is 1

2. Where do I get the detailed procedure to find GCD of 126, 874, 66, 511?

You can find a detailed procedure to find GCD of 126, 874, 66, 511 on our page.

3. How to find GCD of 126, 874, 66, 511 on a calculator?

You can find the GCD of 126, 874, 66, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.