GCD of 89, 7, 82, 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 89, 7, 82, 74 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 7, 82, 74 is 1
GCD(89, 7, 82, 74) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 7, 82, 74 is 1
GCD(89, 7, 82, 74) = 1
GCDof 89,7,82,74 is 1
Given Input numbers are 89, 7, 82, 74
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 7
List of positive integer divisors of 7 that divides 7 without a remainder.
1, 7
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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 89, 7, 82, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 7, 82, 74 is 1.
Therefore, GCD of numbers 89, 7, 82, 74 is 1
Given Input Data is 89, 7, 82, 74
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 7 is 7
Prime Factorization of 82 is 2 x 41
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 89, 7, 82, 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(89, 7) = 623
GCD(89, 7) = ( 89 x 7 ) / 623
GCD(89, 7) = 623 / 623
GCD(89, 7) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
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 89, 7, 82, 74 is 1
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FAQs on GCD of numbers 89, 7, 82, 74
1. What is the GCD of 89, 7, 82, 74?
GCD of 89, 7, 82, 74 is 1
2. Where do I get the detailed procedure to find GCD of 89, 7, 82, 74?
You can find a detailed procedure to find GCD of 89, 7, 82, 74 on our page.
3. How to find GCD of 89, 7, 82, 74 on a calculator?
You can find the GCD of 89, 7, 82, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.