GCD of 950, 676, 85, 338 Calculator

Given Input numbers are 950, 676, 85, 338

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 950, 676, 85, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 676, 85, 338 is 1.

Therefore, GCD of numbers 950, 676, 85, 338 is 1

Given Input Data is 950, 676, 85, 338

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 676 is 2 x 2 x 13 x 13

Prime Factorization of 85 is 5 x 17

Prime Factorization of 338 is 2 x 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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, 676) = 321100

GCD(950, 676) = ( 950 x 676 ) / 321100

GCD(950, 676) = 642200 / 321100

GCD(950, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 950, 676, 85, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 771, 61, 194
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• GCD of 545, 528, 36, 708
• GCD of 832, 288, 28, 262

1. What is the GCD of 950, 676, 85, 338?

GCD of 950, 676, 85, 338 is 1

2. Where do I get the detailed procedure to find GCD of 950, 676, 85, 338?

You can find a detailed procedure to find GCD of 950, 676, 85, 338 on our page.

3. How to find GCD of 950, 676, 85, 338 on a calculator?

You can find the GCD of 950, 676, 85, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.