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 771, 402, 339 i.e. 3 largest integer that divides all the numbers equally.
GCD of 771, 402, 339 is 3
GCD(771, 402, 339) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 402, 339 is 3
GCD(771, 402, 339) = 3
Given Input numbers are 771, 402, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 771, 402, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 402, 339 is 3.
Therefore, GCD of numbers 771, 402, 339 is 3
Given Input Data is 771, 402, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 339 is 3 x 113
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(771, 402) = 103314
GCD(771, 402) = ( 771 x 402 ) / 103314
GCD(771, 402) = 309942 / 103314
GCD(771, 402) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 339) = 339
GCD(3, 339) = ( 3 x 339 ) / 339
GCD(3, 339) = 1017 / 339
GCD(3, 339) = 3
GCD of 771, 402, 339 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 402, 339?
GCD of 771, 402, 339 is 3
2. Where do I get the detailed procedure to find GCD of 771, 402, 339?
You can find a detailed procedure to find GCD of 771, 402, 339 on our page.
3. How to find GCD of 771, 402, 339 on a calculator?
You can find the GCD of 771, 402, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.