GCD of 702, 972, 150 Calculator

Given Input numbers are 702, 972, 150

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

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 702, 972, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 972, 150 is 6.

Therefore, GCD of numbers 702, 972, 150 is 6

Given Input Data is 702, 972, 150

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

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 150 is 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(702, 972) = 12636

GCD(702, 972) = ( 702 x 972 ) / 12636

GCD(702, 972) = 682344 / 12636

GCD(702, 972) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 150

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

LCM(54, 150) = 1350

GCD(54, 150) = ( 54 x 150 ) / 1350

GCD(54, 150) = 8100 / 1350

GCD(54, 150) = 6

GCD of 702, 972, 150 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 975, 276
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• GCD of 672, 265, 218
• GCD of 609, 759, 845
• GCD of 281, 175, 662

1. What is the GCD of 702, 972, 150?

GCD of 702, 972, 150 is 6

2. Where do I get the detailed procedure to find GCD of 702, 972, 150?

You can find a detailed procedure to find GCD of 702, 972, 150 on our page.

3. How to find GCD of 702, 972, 150 on a calculator?

You can find the GCD of 702, 972, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.