GCD of 48, 678, 154, 852 Calculator

Given Input numbers are 48, 678, 154, 852

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 48, 678, 154, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 678, 154, 852 is 2.

Therefore, GCD of numbers 48, 678, 154, 852 is 2

Given Input Data is 48, 678, 154, 852

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(48, 678) = 5424

GCD(48, 678) = ( 48 x 678 ) / 5424

GCD(48, 678) = 32544 / 5424

GCD(48, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 154

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

LCM(6, 154) = 462

GCD(6, 154) = ( 6 x 154 ) / 462

GCD(6, 154) = 924 / 462

GCD(6, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 852

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

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

GCD(2, 852) = 1704 / 852

GCD(2, 852) = 2

GCD of 48, 678, 154, 852 is 2

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1. What is the GCD of 48, 678, 154, 852?

GCD of 48, 678, 154, 852 is 2

2. Where do I get the detailed procedure to find GCD of 48, 678, 154, 852?

You can find a detailed procedure to find GCD of 48, 678, 154, 852 on our page.

3. How to find GCD of 48, 678, 154, 852 on a calculator?

You can find the GCD of 48, 678, 154, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.