GCD of 126, 154, 95, 114 Calculator

Given Input numbers are 126, 154, 95, 114

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 126, 154, 95, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 154, 95, 114 is 1.

Therefore, GCD of numbers 126, 154, 95, 114 is 1

Given Input Data is 126, 154, 95, 114

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 154 is 2 x 7 x 11

Prime Factorization of 95 is 5 x 19

Prime Factorization of 114 is 2 x 3 x 19

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, 154) = 1386

GCD(126, 154) = ( 126 x 154 ) / 1386

GCD(126, 154) = 19404 / 1386

GCD(126, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 95

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

LCM(14, 95) = 1330

GCD(14, 95) = ( 14 x 95 ) / 1330

GCD(14, 95) = 1330 / 1330

GCD(14, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 126, 154, 95, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 186, 85, 994
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1. What is the GCD of 126, 154, 95, 114?

GCD of 126, 154, 95, 114 is 1

2. Where do I get the detailed procedure to find GCD of 126, 154, 95, 114?

You can find a detailed procedure to find GCD of 126, 154, 95, 114 on our page.

3. How to find GCD of 126, 154, 95, 114 on a calculator?

You can find the GCD of 126, 154, 95, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.