GCD of 975, 213, 21, 144 Calculator

Given Input numbers are 975, 213, 21, 144

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 975, 213, 21, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 213, 21, 144 is 3.

Therefore, GCD of numbers 975, 213, 21, 144 is 3

Given Input Data is 975, 213, 21, 144

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 213 is 3 x 71

Prime Factorization of 21 is 3 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(975, 213) = 69225

GCD(975, 213) = ( 975 x 213 ) / 69225

GCD(975, 213) = 207675 / 69225

GCD(975, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 144

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

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

GCD(3, 144) = 432 / 144

GCD(3, 144) = 3

GCD of 975, 213, 21, 144 is 3

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• GCD of 150, 760, 39, 543
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• GCD of 994, 825, 85, 295

1. What is the GCD of 975, 213, 21, 144?

GCD of 975, 213, 21, 144 is 3

2. Where do I get the detailed procedure to find GCD of 975, 213, 21, 144?

You can find a detailed procedure to find GCD of 975, 213, 21, 144 on our page.

3. How to find GCD of 975, 213, 21, 144 on a calculator?

You can find the GCD of 975, 213, 21, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.