GCD of 889, 914, 300, 137 Calculator

Given Input numbers are 889, 914, 300, 137

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 914

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

1, 2, 457, 914

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 889, 914, 300, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 914, 300, 137 is 1.

Therefore, GCD of numbers 889, 914, 300, 137 is 1

Given Input Data is 889, 914, 300, 137

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 914 is 2 x 457

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 137 is 137

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(889, 914) = 812546

GCD(889, 914) = ( 889 x 914 ) / 812546

GCD(889, 914) = 812546 / 812546

GCD(889, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 889, 914, 300, 137 is 1

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1. What is the GCD of 889, 914, 300, 137?

GCD of 889, 914, 300, 137 is 1

2. Where do I get the detailed procedure to find GCD of 889, 914, 300, 137?

You can find a detailed procedure to find GCD of 889, 914, 300, 137 on our page.

3. How to find GCD of 889, 914, 300, 137 on a calculator?

You can find the GCD of 889, 914, 300, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.