GCD of 651, 168, 702, 618 Calculator

Given Input numbers are 651, 168, 702, 618

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 651, 168, 702, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 168, 702, 618 is 3.

Therefore, GCD of numbers 651, 168, 702, 618 is 3

Given Input Data is 651, 168, 702, 618

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 618 is 2 x 3 x 103

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(651, 168) = 5208

GCD(651, 168) = ( 651 x 168 ) / 5208

GCD(651, 168) = 109368 / 5208

GCD(651, 168) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 702

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

LCM(21, 702) = 4914

GCD(21, 702) = ( 21 x 702 ) / 4914

GCD(21, 702) = 14742 / 4914

GCD(21, 702) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 618

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

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

GCD(3, 618) = 1854 / 618

GCD(3, 618) = 3

GCD of 651, 168, 702, 618 is 3

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1. What is the GCD of 651, 168, 702, 618?

GCD of 651, 168, 702, 618 is 3

2. Where do I get the detailed procedure to find GCD of 651, 168, 702, 618?

You can find a detailed procedure to find GCD of 651, 168, 702, 618 on our page.

3. How to find GCD of 651, 168, 702, 618 on a calculator?

You can find the GCD of 651, 168, 702, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.