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 276, 564, 735 i.e. 3 largest integer that divides all the numbers equally.
GCD of 276, 564, 735 is 3
GCD(276, 564, 735) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 564, 735 is 3
GCD(276, 564, 735) = 3
Given Input numbers are 276, 564, 735
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Greatest Common Divisior
We found the divisors of 276, 564, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 564, 735 is 3.
Therefore, GCD of numbers 276, 564, 735 is 3
Given Input Data is 276, 564, 735
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 735 is 3 x 5 x 7 x 7
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(276, 564) = 12972
GCD(276, 564) = ( 276 x 564 ) / 12972
GCD(276, 564) = 155664 / 12972
GCD(276, 564) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 735
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 735) = 2940
GCD(12, 735) = ( 12 x 735 ) / 2940
GCD(12, 735) = 8820 / 2940
GCD(12, 735) = 3
GCD of 276, 564, 735 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 564, 735?
GCD of 276, 564, 735 is 3
2. Where do I get the detailed procedure to find GCD of 276, 564, 735?
You can find a detailed procedure to find GCD of 276, 564, 735 on our page.
3. How to find GCD of 276, 564, 735 on a calculator?
You can find the GCD of 276, 564, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.