GCD of 147, 627, 63, 702 Calculator

Given Input numbers are 147, 627, 63, 702

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

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

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

Greatest Common Divisior

We found the divisors of 147, 627, 63, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 627, 63, 702 is 3.

Therefore, GCD of numbers 147, 627, 63, 702 is 3

Given Input Data is 147, 627, 63, 702

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 63 is 3 x 3 x 7

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

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(147, 627) = 30723

GCD(147, 627) = ( 147 x 627 ) / 30723

GCD(147, 627) = 92169 / 30723

GCD(147, 627) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 63

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

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

GCD(3, 63) = 189 / 63

GCD(3, 63) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 702

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

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

GCD(3, 702) = 2106 / 702

GCD(3, 702) = 3

GCD of 147, 627, 63, 702 is 3

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• GCD of 453, 169, 73, 529
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• GCD of 387, 592, 95, 333
• GCD of 182, 415, 51, 530

1. What is the GCD of 147, 627, 63, 702?

GCD of 147, 627, 63, 702 is 3

2. Where do I get the detailed procedure to find GCD of 147, 627, 63, 702?

You can find a detailed procedure to find GCD of 147, 627, 63, 702 on our page.

3. How to find GCD of 147, 627, 63, 702 on a calculator?

You can find the GCD of 147, 627, 63, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.