GCD of 63, 702, 501, 708 Calculator

Given Input numbers are 63, 702, 501, 708

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 63, 702, 501, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 702, 501, 708 is 3.

Therefore, GCD of numbers 63, 702, 501, 708 is 3

Given Input Data is 63, 702, 501, 708

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

Prime Factorization of 63 is 3 x 3 x 7

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(63, 702) = 4914

GCD(63, 702) = ( 63 x 702 ) / 4914

GCD(63, 702) = 44226 / 4914

GCD(63, 702) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 501

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

LCM(9, 501) = 1503

GCD(9, 501) = ( 9 x 501 ) / 1503

GCD(9, 501) = 4509 / 1503

GCD(9, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 708

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

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

GCD(3, 708) = 2124 / 708

GCD(3, 708) = 3

GCD of 63, 702, 501, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 410, 399, 444
• GCD of 15, 796, 167, 566
• GCD of 90, 440, 338, 465
• GCD of 80, 892, 335, 770
• GCD of 58, 708, 604, 811

1. What is the GCD of 63, 702, 501, 708?

GCD of 63, 702, 501, 708 is 3

2. Where do I get the detailed procedure to find GCD of 63, 702, 501, 708?

You can find a detailed procedure to find GCD of 63, 702, 501, 708 on our page.

3. How to find GCD of 63, 702, 501, 708 on a calculator?

You can find the GCD of 63, 702, 501, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.