GCD of 762, 980, 27 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 762, 980, 27 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 980, 27 is 1
GCD(762, 980, 27) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 980, 27 is 1
GCD(762, 980, 27) = 1
GCDof 762,980,27 is 1
Given Input numbers are 762, 980, 27
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Greatest Common Divisior
We found the divisors of 762, 980, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 980, 27 is 1.
Therefore, GCD of numbers 762, 980, 27 is 1
Given Input Data is 762, 980, 27
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 27 is 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 762, 980, 27 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(762, 980) = 373380
GCD(762, 980) = ( 762 x 980 ) / 373380
GCD(762, 980) = 746760 / 373380
GCD(762, 980) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
GCD of 762, 980, 27 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 762, 980, 27
1. What is the GCD of 762, 980, 27?
GCD of 762, 980, 27 is 1
2. Where do I get the detailed procedure to find GCD of 762, 980, 27?
You can find a detailed procedure to find GCD of 762, 980, 27 on our page.
3. How to find GCD of 762, 980, 27 on a calculator?
You can find the GCD of 762, 980, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.