GCD of 70, 38, 66 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 70, 38, 66 i.e. 2 largest integer that divides all the numbers equally.
GCD of 70, 38, 66 is 2
GCD(70, 38, 66) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 38, 66 is 2
GCD(70, 38, 66) = 2
GCDof 70,38,66 is 2
Given Input numbers are 70, 38, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 70, 38, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 38, 66 is 2.
Therefore, GCD of numbers 70, 38, 66 is 2
Given Input Data is 70, 38, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 38 is 2 x 19
Prime Factorization of 66 is 2 x 3 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 70, 38, 66 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(70, 38) = 1330
GCD(70, 38) = ( 70 x 38 ) / 1330
GCD(70, 38) = 2660 / 1330
GCD(70, 38) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
GCD of 70, 38, 66 is 2
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FAQs on GCD of numbers 70, 38, 66
1. What is the GCD of 70, 38, 66?
GCD of 70, 38, 66 is 2
2. Where do I get the detailed procedure to find GCD of 70, 38, 66?
You can find a detailed procedure to find GCD of 70, 38, 66 on our page.
3. How to find GCD of 70, 38, 66 on a calculator?
You can find the GCD of 70, 38, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.