GCD of 760, 342, 12, 202 Calculator

Given Input numbers are 760, 342, 12, 202

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 760, 342, 12, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 342, 12, 202 is 2.

Therefore, GCD of numbers 760, 342, 12, 202 is 2

Given Input Data is 760, 342, 12, 202

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 202 is 2 x 101

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(760, 342) = 6840

GCD(760, 342) = ( 760 x 342 ) / 6840

GCD(760, 342) = 259920 / 6840

GCD(760, 342) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 12

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

LCM(38, 12) = 228

GCD(38, 12) = ( 38 x 12 ) / 228

GCD(38, 12) = 456 / 228

GCD(38, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 760, 342, 12, 202 is 2

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1. What is the GCD of 760, 342, 12, 202?

GCD of 760, 342, 12, 202 is 2

2. Where do I get the detailed procedure to find GCD of 760, 342, 12, 202?

You can find a detailed procedure to find GCD of 760, 342, 12, 202 on our page.

3. How to find GCD of 760, 342, 12, 202 on a calculator?

You can find the GCD of 760, 342, 12, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.