GCD of 632, 972, 10, 271 Calculator

Given Input numbers are 632, 972, 10, 271

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 632, 972, 10, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 972, 10, 271 is 1.

Therefore, GCD of numbers 632, 972, 10, 271 is 1

Given Input Data is 632, 972, 10, 271

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 271 is 271

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(632, 972) = 153576

GCD(632, 972) = ( 632 x 972 ) / 153576

GCD(632, 972) = 614304 / 153576

GCD(632, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 271

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

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

GCD(2, 271) = 542 / 542

GCD(2, 271) = 1

GCD of 632, 972, 10, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 734, 58, 316
• GCD of 563, 744, 79, 955
• GCD of 885, 287, 73, 542
• GCD of 321, 717, 87, 359
• GCD of 741, 262, 40, 575

1. What is the GCD of 632, 972, 10, 271?

GCD of 632, 972, 10, 271 is 1

2. Where do I get the detailed procedure to find GCD of 632, 972, 10, 271?

You can find a detailed procedure to find GCD of 632, 972, 10, 271 on our page.

3. How to find GCD of 632, 972, 10, 271 on a calculator?

You can find the GCD of 632, 972, 10, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.