GCD of 948, 370, 678 Calculator

Given Input numbers are 948, 370, 678

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 948, 370, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 370, 678 is 2.

Therefore, GCD of numbers 948, 370, 678 is 2

Given Input Data is 948, 370, 678

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 678 is 2 x 3 x 113

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(948, 370) = 175380

GCD(948, 370) = ( 948 x 370 ) / 175380

GCD(948, 370) = 350760 / 175380

GCD(948, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

GCD of 948, 370, 678 is 2

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1. What is the GCD of 948, 370, 678?

GCD of 948, 370, 678 is 2

2. Where do I get the detailed procedure to find GCD of 948, 370, 678?

You can find a detailed procedure to find GCD of 948, 370, 678 on our page.

3. How to find GCD of 948, 370, 678 on a calculator?

You can find the GCD of 948, 370, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.