GCD of 807, 180, 92 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 807, 180, 92 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 180, 92 is 1
GCD(807, 180, 92) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 180, 92 is 1
GCD(807, 180, 92) = 1
GCDof 807,180,92 is 1
Given Input numbers are 807, 180, 92
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Greatest Common Divisior
We found the divisors of 807, 180, 92 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 180, 92 is 1.
Therefore, GCD of numbers 807, 180, 92 is 1
Given Input Data is 807, 180, 92
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 92 is 2 x 2 x 23
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 807, 180, 92 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(807, 180) = 48420
GCD(807, 180) = ( 807 x 180 ) / 48420
GCD(807, 180) = 145260 / 48420
GCD(807, 180) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 92) = 276
GCD(3, 92) = ( 3 x 92 ) / 276
GCD(3, 92) = 276 / 276
GCD(3, 92) = 1
GCD of 807, 180, 92 is 1
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FAQs on GCD of numbers 807, 180, 92
1. What is the GCD of 807, 180, 92?
GCD of 807, 180, 92 is 1
2. Where do I get the detailed procedure to find GCD of 807, 180, 92?
You can find a detailed procedure to find GCD of 807, 180, 92 on our page.
3. How to find GCD of 807, 180, 92 on a calculator?
You can find the GCD of 807, 180, 92 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.