GCD of 35, 126, 138, 766 Calculator

Given Input numbers are 35, 126, 138, 766

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 35, 126, 138, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 126, 138, 766 is 1.

Therefore, GCD of numbers 35, 126, 138, 766 is 1

Given Input Data is 35, 126, 138, 766

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

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 766 is 2 x 383

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(35, 126) = 630

GCD(35, 126) = ( 35 x 126 ) / 630

GCD(35, 126) = 4410 / 630

GCD(35, 126) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 138

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

LCM(7, 138) = 966

GCD(7, 138) = ( 7 x 138 ) / 966

GCD(7, 138) = 966 / 966

GCD(7, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 35, 126, 138, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 203, 458, 217
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• GCD of 47, 884, 622, 969

1. What is the GCD of 35, 126, 138, 766?

GCD of 35, 126, 138, 766 is 1

2. Where do I get the detailed procedure to find GCD of 35, 126, 138, 766?

You can find a detailed procedure to find GCD of 35, 126, 138, 766 on our page.

3. How to find GCD of 35, 126, 138, 766 on a calculator?

You can find the GCD of 35, 126, 138, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.