GCD of 628, 126, 85, 914 Calculator

Given Input numbers are 628, 126, 85, 914

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 85

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

1, 5, 17, 85

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 628, 126, 85, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 126, 85, 914 is 1.

Therefore, GCD of numbers 628, 126, 85, 914 is 1

Given Input Data is 628, 126, 85, 914

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 914 is 2 x 457

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(628, 126) = 39564

GCD(628, 126) = ( 628 x 126 ) / 39564

GCD(628, 126) = 79128 / 39564

GCD(628, 126) = 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 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 628, 126, 85, 914 is 1

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1. What is the GCD of 628, 126, 85, 914?

GCD of 628, 126, 85, 914 is 1

2. Where do I get the detailed procedure to find GCD of 628, 126, 85, 914?

You can find a detailed procedure to find GCD of 628, 126, 85, 914 on our page.

3. How to find GCD of 628, 126, 85, 914 on a calculator?

You can find the GCD of 628, 126, 85, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.