GCD of 708, 774, 950, 534 Calculator

Given Input numbers are 708, 774, 950, 534

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 708, 774, 950, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 774, 950, 534 is 2.

Therefore, GCD of numbers 708, 774, 950, 534 is 2

Given Input Data is 708, 774, 950, 534

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 534 is 2 x 3 x 89

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, 774) = 91332

GCD(708, 774) = ( 708 x 774 ) / 91332

GCD(708, 774) = 547992 / 91332

GCD(708, 774) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 950

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

LCM(6, 950) = 2850

GCD(6, 950) = ( 6 x 950 ) / 2850

GCD(6, 950) = 5700 / 2850

GCD(6, 950) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 534

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

LCM(2, 534) = 534

GCD(2, 534) = ( 2 x 534 ) / 534

GCD(2, 534) = 1068 / 534

GCD(2, 534) = 2

GCD of 708, 774, 950, 534 is 2

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1. What is the GCD of 708, 774, 950, 534?

GCD of 708, 774, 950, 534 is 2

2. Where do I get the detailed procedure to find GCD of 708, 774, 950, 534?

You can find a detailed procedure to find GCD of 708, 774, 950, 534 on our page.

3. How to find GCD of 708, 774, 950, 534 on a calculator?

You can find the GCD of 708, 774, 950, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.