GCD of 948, 278, 366, 846 Calculator

Given Input numbers are 948, 278, 366, 846

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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

Greatest Common Divisior

We found the divisors of 948, 278, 366, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 278, 366, 846 is 2.

Therefore, GCD of numbers 948, 278, 366, 846 is 2

Given Input Data is 948, 278, 366, 846

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 278 is 2 x 139

Prime Factorization of 366 is 2 x 3 x 61

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

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, 278) = 131772

GCD(948, 278) = ( 948 x 278 ) / 131772

GCD(948, 278) = 263544 / 131772

GCD(948, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 948, 278, 366, 846 is 2

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1. What is the GCD of 948, 278, 366, 846?

GCD of 948, 278, 366, 846 is 2

2. Where do I get the detailed procedure to find GCD of 948, 278, 366, 846?

You can find a detailed procedure to find GCD of 948, 278, 366, 846 on our page.

3. How to find GCD of 948, 278, 366, 846 on a calculator?

You can find the GCD of 948, 278, 366, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.