GCD of 126, 322, 65, 277 Calculator

Given Input numbers are 126, 322, 65, 277

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 126, 322, 65, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 322, 65, 277 is 1.

Therefore, GCD of numbers 126, 322, 65, 277 is 1

Given Input Data is 126, 322, 65, 277

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 322 is 2 x 7 x 23

Prime Factorization of 65 is 5 x 13

Prime Factorization of 277 is 277

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, 322) = 2898

GCD(126, 322) = ( 126 x 322 ) / 2898

GCD(126, 322) = 40572 / 2898

GCD(126, 322) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 65

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

LCM(14, 65) = 910

GCD(14, 65) = ( 14 x 65 ) / 910

GCD(14, 65) = 910 / 910

GCD(14, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 126, 322, 65, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 506, 83, 572
• GCD of 856, 812, 91, 520
• GCD of 827, 505, 64, 615
• GCD of 586, 426, 70, 890
• GCD of 164, 374, 49, 101

1. What is the GCD of 126, 322, 65, 277?

GCD of 126, 322, 65, 277 is 1

2. Where do I get the detailed procedure to find GCD of 126, 322, 65, 277?

You can find a detailed procedure to find GCD of 126, 322, 65, 277 on our page.

3. How to find GCD of 126, 322, 65, 277 on a calculator?

You can find the GCD of 126, 322, 65, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.