GCD of 156, 846, 30, 345 Calculator

Given Input numbers are 156, 846, 30, 345

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 156, 846, 30, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 846, 30, 345 is 3.

Therefore, GCD of numbers 156, 846, 30, 345 is 3

Given Input Data is 156, 846, 30, 345

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 345 is 3 x 5 x 23

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(156, 846) = 21996

GCD(156, 846) = ( 156 x 846 ) / 21996

GCD(156, 846) = 131976 / 21996

GCD(156, 846) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 30

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

LCM(6, 30) = 30

GCD(6, 30) = ( 6 x 30 ) / 30

GCD(6, 30) = 180 / 30

GCD(6, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 345

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

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

GCD(6, 345) = 2070 / 690

GCD(6, 345) = 3

GCD of 156, 846, 30, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 921, 26, 536
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• GCD of 680, 630, 10, 635
• GCD of 249, 631, 90, 249
• GCD of 274, 645, 44, 846

1. What is the GCD of 156, 846, 30, 345?

GCD of 156, 846, 30, 345 is 3

2. Where do I get the detailed procedure to find GCD of 156, 846, 30, 345?

You can find a detailed procedure to find GCD of 156, 846, 30, 345 on our page.

3. How to find GCD of 156, 846, 30, 345 on a calculator?

You can find the GCD of 156, 846, 30, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.