GCD of 874, 101, 23, 126 Calculator

Given Input numbers are 874, 101, 23, 126

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

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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

Greatest Common Divisior

We found the divisors of 874, 101, 23, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 101, 23, 126 is 1.

Therefore, GCD of numbers 874, 101, 23, 126 is 1

Given Input Data is 874, 101, 23, 126

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 101 is 101

Prime Factorization of 23 is 23

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

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(874, 101) = 88274

GCD(874, 101) = ( 874 x 101 ) / 88274

GCD(874, 101) = 88274 / 88274

GCD(874, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

GCD of 874, 101, 23, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 457, 86, 506
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• GCD of 678, 238, 81, 247
• GCD of 562, 210, 23, 649

1. What is the GCD of 874, 101, 23, 126?

GCD of 874, 101, 23, 126 is 1

2. Where do I get the detailed procedure to find GCD of 874, 101, 23, 126?

You can find a detailed procedure to find GCD of 874, 101, 23, 126 on our page.

3. How to find GCD of 874, 101, 23, 126 on a calculator?

You can find the GCD of 874, 101, 23, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.