GCD of 899, 268, 74 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 899, 268, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 899, 268, 74 is 1

GCD(899, 268, 74) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 899, 268, 74 is 1

GCD(899, 268, 74) = 1

GCD of 899,268,74 Calculator

GCDof 899,268,74 is 1

Given Input numbers are 899, 268, 74

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 899, 268, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 268, 74 is 1.

Therefore, GCD of numbers 899, 268, 74 is 1

Finding GCD of 899, 268, 74 using Prime Factorization

Given Input Data is 899, 268, 74

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 74 is 2 x 37

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

Finding GCD of 899, 268, 74 using LCM Formula

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(899, 268) = 240932

GCD(899, 268) = ( 899 x 268 ) / 240932

GCD(899, 268) = 240932 / 240932

GCD(899, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 899, 268, 74 is 1

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FAQs on GCD of numbers 899, 268, 74

1. What is the GCD of 899, 268, 74?

GCD of 899, 268, 74 is 1

2. Where do I get the detailed procedure to find GCD of 899, 268, 74?

You can find a detailed procedure to find GCD of 899, 268, 74 on our page.

3. How to find GCD of 899, 268, 74 on a calculator?

You can find the GCD of 899, 268, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.