GCD of 88, 16, 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 88, 16, 74 i.e. 2 largest integer that divides all the numbers equally.
GCD of 88, 16, 74 is 2
GCD(88, 16, 74) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 16, 74 is 2
GCD(88, 16, 74) = 2
GCDof 88,16,74 is 2
Given Input numbers are 88, 16, 74
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
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 88, 16, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 16, 74 is 2.
Therefore, GCD of numbers 88, 16, 74 is 2
Given Input Data is 88, 16, 74
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 74 is 2 x 37
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 88, 16, 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(88, 16) = 176
GCD(88, 16) = ( 88 x 16 ) / 176
GCD(88, 16) = 1408 / 176
GCD(88, 16) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 74) = 296
GCD(8, 74) = ( 8 x 74 ) / 296
GCD(8, 74) = 592 / 296
GCD(8, 74) = 2
GCD of 88, 16, 74 is 2
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FAQs on GCD of numbers 88, 16, 74
1. What is the GCD of 88, 16, 74?
GCD of 88, 16, 74 is 2
2. Where do I get the detailed procedure to find GCD of 88, 16, 74?
You can find a detailed procedure to find GCD of 88, 16, 74 on our page.
3. How to find GCD of 88, 16, 74 on a calculator?
You can find the GCD of 88, 16, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.