GCD of 62, 14, 90 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 62, 14, 90 i.e. 2 largest integer that divides all the numbers equally.
GCD of 62, 14, 90 is 2
GCD(62, 14, 90) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 14, 90 is 2
GCD(62, 14, 90) = 2
GCDof 62,14,90 is 2
Given Input numbers are 62, 14, 90
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Greatest Common Divisior
We found the divisors of 62, 14, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 14, 90 is 2.
Therefore, GCD of numbers 62, 14, 90 is 2
Given Input Data is 62, 14, 90
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 14 is 2 x 7
Prime Factorization of 90 is 2 x 3 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 62, 14, 90 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(62, 14) = 434
GCD(62, 14) = ( 62 x 14 ) / 434
GCD(62, 14) = 868 / 434
GCD(62, 14) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 90) = 90
GCD(2, 90) = ( 2 x 90 ) / 90
GCD(2, 90) = 180 / 90
GCD(2, 90) = 2
GCD of 62, 14, 90 is 2
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FAQs on GCD of numbers 62, 14, 90
1. What is the GCD of 62, 14, 90?
GCD of 62, 14, 90 is 2
2. Where do I get the detailed procedure to find GCD of 62, 14, 90?
You can find a detailed procedure to find GCD of 62, 14, 90 on our page.
3. How to find GCD of 62, 14, 90 on a calculator?
You can find the GCD of 62, 14, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.