GCD of 318, 672, 76, 374 Calculator

Given Input numbers are 318, 672, 76, 374

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 374

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

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

Greatest Common Divisior

We found the divisors of 318, 672, 76, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 672, 76, 374 is 2.

Therefore, GCD of numbers 318, 672, 76, 374 is 2

Given Input Data is 318, 672, 76, 374

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 374 is 2 x 11 x 17

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(318, 672) = 35616

GCD(318, 672) = ( 318 x 672 ) / 35616

GCD(318, 672) = 213696 / 35616

GCD(318, 672) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 76

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

LCM(6, 76) = 228

GCD(6, 76) = ( 6 x 76 ) / 228

GCD(6, 76) = 456 / 228

GCD(6, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 374

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

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

GCD(2, 374) = 748 / 374

GCD(2, 374) = 2

GCD of 318, 672, 76, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 287, 93, 895
• GCD of 510, 865, 49, 842
• GCD of 825, 138, 97, 198
• GCD of 653, 858, 70, 903
• GCD of 951, 170, 81, 947

1. What is the GCD of 318, 672, 76, 374?

GCD of 318, 672, 76, 374 is 2

2. Where do I get the detailed procedure to find GCD of 318, 672, 76, 374?

You can find a detailed procedure to find GCD of 318, 672, 76, 374 on our page.

3. How to find GCD of 318, 672, 76, 374 on a calculator?

You can find the GCD of 318, 672, 76, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.