GCD of 12, 932, 642, 702 Calculator

Given Input numbers are 12, 932, 642, 702

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 12, 932, 642, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 932, 642, 702 is 2.

Therefore, GCD of numbers 12, 932, 642, 702 is 2

Given Input Data is 12, 932, 642, 702

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(12, 932) = 2796

GCD(12, 932) = ( 12 x 932 ) / 2796

GCD(12, 932) = 11184 / 2796

GCD(12, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 642

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

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

GCD(4, 642) = 2568 / 1284

GCD(4, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 12, 932, 642, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 604, 229, 969
• GCD of 14, 531, 695, 175
• GCD of 12, 948, 860, 476
• GCD of 57, 244, 449, 268
• GCD of 13, 865, 156, 128

1. What is the GCD of 12, 932, 642, 702?

GCD of 12, 932, 642, 702 is 2

2. Where do I get the detailed procedure to find GCD of 12, 932, 642, 702?

You can find a detailed procedure to find GCD of 12, 932, 642, 702 on our page.

3. How to find GCD of 12, 932, 642, 702 on a calculator?

You can find the GCD of 12, 932, 642, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.