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 291, 735, 420 i.e. 3 largest integer that divides all the numbers equally.
GCD of 291, 735, 420 is 3
GCD(291, 735, 420) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 735, 420 is 3
GCD(291, 735, 420) = 3
Given Input numbers are 291, 735, 420
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
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
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 291, 735, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 735, 420 is 3.
Therefore, GCD of numbers 291, 735, 420 is 3
Given Input Data is 291, 735, 420
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 420 is 2 x 2 x 3 x 5 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(291, 735) = 71295
GCD(291, 735) = ( 291 x 735 ) / 71295
GCD(291, 735) = 213885 / 71295
GCD(291, 735) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 420) = 420
GCD(3, 420) = ( 3 x 420 ) / 420
GCD(3, 420) = 1260 / 420
GCD(3, 420) = 3
GCD of 291, 735, 420 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 735, 420?
GCD of 291, 735, 420 is 3
2. Where do I get the detailed procedure to find GCD of 291, 735, 420?
You can find a detailed procedure to find GCD of 291, 735, 420 on our page.
3. How to find GCD of 291, 735, 420 on a calculator?
You can find the GCD of 291, 735, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.