GCD of 708, 946, 974 Calculator

Given Input numbers are 708, 946, 974

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 974

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

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 708, 946, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 946, 974 is 2.

Therefore, GCD of numbers 708, 946, 974 is 2

Given Input Data is 708, 946, 974

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 974 is 2 x 487

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(708, 946) = 334884

GCD(708, 946) = ( 708 x 946 ) / 334884

GCD(708, 946) = 669768 / 334884

GCD(708, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 974

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

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

GCD(2, 974) = 1948 / 974

GCD(2, 974) = 2

GCD of 708, 946, 974 is 2

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1. What is the GCD of 708, 946, 974?

GCD of 708, 946, 974 is 2

2. Where do I get the detailed procedure to find GCD of 708, 946, 974?

You can find a detailed procedure to find GCD of 708, 946, 974 on our page.

3. How to find GCD of 708, 946, 974 on a calculator?

You can find the GCD of 708, 946, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.