GCD of 758, 974, 234, 210 Calculator

Given Input numbers are 758, 974, 234, 210

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 758, 974, 234, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 974, 234, 210 is 2.

Therefore, GCD of numbers 758, 974, 234, 210 is 2

Given Input Data is 758, 974, 234, 210

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 974 is 2 x 487

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 210 is 2 x 3 x 5 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(758, 974) = 369146

GCD(758, 974) = ( 758 x 974 ) / 369146

GCD(758, 974) = 738292 / 369146

GCD(758, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 210

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

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

GCD(2, 210) = 420 / 210

GCD(2, 210) = 2

GCD of 758, 974, 234, 210 is 2

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1. What is the GCD of 758, 974, 234, 210?

GCD of 758, 974, 234, 210 is 2

2. Where do I get the detailed procedure to find GCD of 758, 974, 234, 210?

You can find a detailed procedure to find GCD of 758, 974, 234, 210 on our page.

3. How to find GCD of 758, 974, 234, 210 on a calculator?

You can find the GCD of 758, 974, 234, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.