GCD of 914, 378, 95, 924 Calculator

Given Input numbers are 914, 378, 95, 924

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

Divisors of 914

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

1, 2, 457, 914

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 914, 378, 95, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 378, 95, 924 is 1.

Therefore, GCD of numbers 914, 378, 95, 924 is 1

Given Input Data is 914, 378, 95, 924

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 95 is 5 x 19

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(914, 378) = 172746

GCD(914, 378) = ( 914 x 378 ) / 172746

GCD(914, 378) = 345492 / 172746

GCD(914, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

GCD of 914, 378, 95, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 175, 44, 737
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• GCD of 101, 319, 72, 849
• GCD of 363, 980, 27, 624
• GCD of 888, 862, 20, 255

1. What is the GCD of 914, 378, 95, 924?

GCD of 914, 378, 95, 924 is 1

2. Where do I get the detailed procedure to find GCD of 914, 378, 95, 924?

You can find a detailed procedure to find GCD of 914, 378, 95, 924 on our page.

3. How to find GCD of 914, 378, 95, 924 on a calculator?

You can find the GCD of 914, 378, 95, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.