GCD of 35, 72, 78 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 35, 72, 78 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 72, 78 is 1
GCD(35, 72, 78) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 72, 78 is 1
GCD(35, 72, 78) = 1
GCDof 35,72,78 is 1
Given Input numbers are 35, 72, 78
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Greatest Common Divisior
We found the divisors of 35, 72, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 72, 78 is 1.
Therefore, GCD of numbers 35, 72, 78 is 1
Given Input Data is 35, 72, 78
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 78 is 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 35, 72, 78 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(35, 72) = 2520
GCD(35, 72) = ( 35 x 72 ) / 2520
GCD(35, 72) = 2520 / 2520
GCD(35, 72) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
GCD of 35, 72, 78 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 35, 72, 78
1. What is the GCD of 35, 72, 78?
GCD of 35, 72, 78 is 1
2. Where do I get the detailed procedure to find GCD of 35, 72, 78?
You can find a detailed procedure to find GCD of 35, 72, 78 on our page.
3. How to find GCD of 35, 72, 78 on a calculator?
You can find the GCD of 35, 72, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
