GCD of 746, 684, 970 Calculator

Given Input numbers are 746, 684, 970

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 746, 684, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 684, 970 is 2.

Therefore, GCD of numbers 746, 684, 970 is 2

Given Input Data is 746, 684, 970

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 970 is 2 x 5 x 97

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(746, 684) = 255132

GCD(746, 684) = ( 746 x 684 ) / 255132

GCD(746, 684) = 510264 / 255132

GCD(746, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 746, 684, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 821, 137
• GCD of 398, 916, 990
• GCD of 887, 811, 455
• GCD of 180, 855, 694
• GCD of 197, 909, 905

1. What is the GCD of 746, 684, 970?

GCD of 746, 684, 970 is 2

2. Where do I get the detailed procedure to find GCD of 746, 684, 970?

You can find a detailed procedure to find GCD of 746, 684, 970 on our page.

3. How to find GCD of 746, 684, 970 on a calculator?

You can find the GCD of 746, 684, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.