GCD of 374, 710, 690, 646 Calculator

Given Input numbers are 374, 710, 690, 646

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

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 374, 710, 690, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 710, 690, 646 is 2.

Therefore, GCD of numbers 374, 710, 690, 646 is 2

Given Input Data is 374, 710, 690, 646

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 646 is 2 x 17 x 19

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(374, 710) = 132770

GCD(374, 710) = ( 374 x 710 ) / 132770

GCD(374, 710) = 265540 / 132770

GCD(374, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 374, 710, 690, 646 is 2

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1. What is the GCD of 374, 710, 690, 646?

GCD of 374, 710, 690, 646 is 2

2. Where do I get the detailed procedure to find GCD of 374, 710, 690, 646?

You can find a detailed procedure to find GCD of 374, 710, 690, 646 on our page.

3. How to find GCD of 374, 710, 690, 646 on a calculator?

You can find the GCD of 374, 710, 690, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.