GCD of 676, 948, 374, 686 Calculator

Given Input numbers are 676, 948, 374, 686

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 676, 948, 374, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 948, 374, 686 is 2.

Therefore, GCD of numbers 676, 948, 374, 686 is 2

Given Input Data is 676, 948, 374, 686

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(676, 948) = 160212

GCD(676, 948) = ( 676 x 948 ) / 160212

GCD(676, 948) = 640848 / 160212

GCD(676, 948) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 374

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

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

GCD(4, 374) = 1496 / 748

GCD(4, 374) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

GCD of 676, 948, 374, 686 is 2

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1. What is the GCD of 676, 948, 374, 686?

GCD of 676, 948, 374, 686 is 2

2. Where do I get the detailed procedure to find GCD of 676, 948, 374, 686?

You can find a detailed procedure to find GCD of 676, 948, 374, 686 on our page.

3. How to find GCD of 676, 948, 374, 686 on a calculator?

You can find the GCD of 676, 948, 374, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.