GCD of 746, 989, 69 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 746, 989, 69 i.e. 1 largest integer that divides all the numbers equally.

GCD of 746, 989, 69 is 1

GCD(746, 989, 69) = 1

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

GCD of

GCD of numbers 746, 989, 69 is 1

GCD(746, 989, 69) = 1

GCD of 746,989,69 Calculator

GCDof 746,989,69 is 1

Given Input numbers are 746, 989, 69

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Greatest Common Divisior

We found the divisors of 746, 989, 69 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 989, 69 is 1.

Therefore, GCD of numbers 746, 989, 69 is 1

Finding GCD of 746, 989, 69 using Prime Factorization

Given Input Data is 746, 989, 69

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 989 is 23 x 43

Prime Factorization of 69 is 3 x 23

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

Finding GCD of 746, 989, 69 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(746, 989) = 737794

GCD(746, 989) = ( 746 x 989 ) / 737794

GCD(746, 989) = 737794 / 737794

GCD(746, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

GCD of 746, 989, 69 is 1

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FAQs on GCD of numbers 746, 989, 69

1. What is the GCD of 746, 989, 69?

GCD of 746, 989, 69 is 1

2. Where do I get the detailed procedure to find GCD of 746, 989, 69?

You can find a detailed procedure to find GCD of 746, 989, 69 on our page.

3. How to find GCD of 746, 989, 69 on a calculator?

You can find the GCD of 746, 989, 69 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.