GCD of 950, 534, 682, 638 Calculator

Given Input numbers are 950, 534, 682, 638

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

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 950, 534, 682, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 534, 682, 638 is 2.

Therefore, GCD of numbers 950, 534, 682, 638 is 2

Given Input Data is 950, 534, 682, 638

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

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 638 is 2 x 11 x 29

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(950, 534) = 253650

GCD(950, 534) = ( 950 x 534 ) / 253650

GCD(950, 534) = 507300 / 253650

GCD(950, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 950, 534, 682, 638 is 2

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1. What is the GCD of 950, 534, 682, 638?

GCD of 950, 534, 682, 638 is 2

2. Where do I get the detailed procedure to find GCD of 950, 534, 682, 638?

You can find a detailed procedure to find GCD of 950, 534, 682, 638 on our page.

3. How to find GCD of 950, 534, 682, 638 on a calculator?

You can find the GCD of 950, 534, 682, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.