GCD of 767, 101, 346, 132 Calculator

Given Input numbers are 767, 101, 346, 132

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 101

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

1, 101

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 767, 101, 346, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 101, 346, 132 is 1.

Therefore, GCD of numbers 767, 101, 346, 132 is 1

Given Input Data is 767, 101, 346, 132

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 101 is 101

Prime Factorization of 346 is 2 x 173

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(767, 101) = 77467

GCD(767, 101) = ( 767 x 101 ) / 77467

GCD(767, 101) = 77467 / 77467

GCD(767, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 346

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

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

GCD(1, 346) = 346 / 346

GCD(1, 346) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 767, 101, 346, 132 is 1

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1. What is the GCD of 767, 101, 346, 132?

GCD of 767, 101, 346, 132 is 1

2. Where do I get the detailed procedure to find GCD of 767, 101, 346, 132?

You can find a detailed procedure to find GCD of 767, 101, 346, 132 on our page.

3. How to find GCD of 767, 101, 346, 132 on a calculator?

You can find the GCD of 767, 101, 346, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.