GCD of 72, 294, 846, 602 Calculator

Given Input numbers are 72, 294, 846, 602

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 72, 294, 846, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 294, 846, 602 is 2.

Therefore, GCD of numbers 72, 294, 846, 602 is 2

Given Input Data is 72, 294, 846, 602

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 602 is 2 x 7 x 43

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(72, 294) = 3528

GCD(72, 294) = ( 72 x 294 ) / 3528

GCD(72, 294) = 21168 / 3528

GCD(72, 294) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 846

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

LCM(6, 846) = 846

GCD(6, 846) = ( 6 x 846 ) / 846

GCD(6, 846) = 5076 / 846

GCD(6, 846) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 602

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

LCM(6, 602) = 1806

GCD(6, 602) = ( 6 x 602 ) / 1806

GCD(6, 602) = 3612 / 1806

GCD(6, 602) = 2

GCD of 72, 294, 846, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 364, 601, 363
• GCD of 67, 989, 101, 862
• GCD of 21, 928, 246, 201
• GCD of 61, 721, 238, 879
• GCD of 48, 864, 746, 850

1. What is the GCD of 72, 294, 846, 602?

GCD of 72, 294, 846, 602 is 2

2. Where do I get the detailed procedure to find GCD of 72, 294, 846, 602?

You can find a detailed procedure to find GCD of 72, 294, 846, 602 on our page.

3. How to find GCD of 72, 294, 846, 602 on a calculator?

You can find the GCD of 72, 294, 846, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.