GCD of 126, 427, 16, 967 Calculator

Given Input numbers are 126, 427, 16, 967

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 126, 427, 16, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 427, 16, 967 is 1.

Therefore, GCD of numbers 126, 427, 16, 967 is 1

Given Input Data is 126, 427, 16, 967

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 427 is 7 x 61

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 967 is 967

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, 427) = 7686

GCD(126, 427) = ( 126 x 427 ) / 7686

GCD(126, 427) = 53802 / 7686

GCD(126, 427) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 16

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

LCM(7, 16) = 112

GCD(7, 16) = ( 7 x 16 ) / 112

GCD(7, 16) = 112 / 112

GCD(7, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 126, 427, 16, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 419, 46, 716
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• GCD of 571, 605, 24, 904
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• GCD of 973, 288, 35, 704

1. What is the GCD of 126, 427, 16, 967?

GCD of 126, 427, 16, 967 is 1

2. Where do I get the detailed procedure to find GCD of 126, 427, 16, 967?

You can find a detailed procedure to find GCD of 126, 427, 16, 967 on our page.

3. How to find GCD of 126, 427, 16, 967 on a calculator?

You can find the GCD of 126, 427, 16, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.