GCD of 168, 978, 62, 300 Calculator

Given Input numbers are 168, 978, 62, 300

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

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 168, 978, 62, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 978, 62, 300 is 2.

Therefore, GCD of numbers 168, 978, 62, 300 is 2

Given Input Data is 168, 978, 62, 300

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

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 62 is 2 x 31

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(168, 978) = 27384

GCD(168, 978) = ( 168 x 978 ) / 27384

GCD(168, 978) = 164304 / 27384

GCD(168, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 62

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

LCM(6, 62) = 186

GCD(6, 62) = ( 6 x 62 ) / 186

GCD(6, 62) = 372 / 186

GCD(6, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 168, 978, 62, 300 is 2

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1. What is the GCD of 168, 978, 62, 300?

GCD of 168, 978, 62, 300 is 2

2. Where do I get the detailed procedure to find GCD of 168, 978, 62, 300?

You can find a detailed procedure to find GCD of 168, 978, 62, 300 on our page.

3. How to find GCD of 168, 978, 62, 300 on a calculator?

You can find the GCD of 168, 978, 62, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.