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 720, 952, 10, 270 i.e. 2 largest integer that divides all the numbers equally.
GCD of 720, 952, 10, 270 is 2
GCD(720, 952, 10, 270) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 952, 10, 270 is 2
GCD(720, 952, 10, 270) = 2
Given Input numbers are 720, 952, 10, 270
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 720, 952, 10, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 952, 10, 270 is 2.
Therefore, GCD of numbers 720, 952, 10, 270 is 2
Given Input Data is 720, 952, 10, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 10 is 2 x 5
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(720, 952) = 85680
GCD(720, 952) = ( 720 x 952 ) / 85680
GCD(720, 952) = 685440 / 85680
GCD(720, 952) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 10) = 40
GCD(8, 10) = ( 8 x 10 ) / 40
GCD(8, 10) = 80 / 40
GCD(8, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
GCD(2, 270) = 540 / 270
GCD(2, 270) = 2
GCD of 720, 952, 10, 270 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 952, 10, 270?
GCD of 720, 952, 10, 270 is 2
2. Where do I get the detailed procedure to find GCD of 720, 952, 10, 270?
You can find a detailed procedure to find GCD of 720, 952, 10, 270 on our page.
3. How to find GCD of 720, 952, 10, 270 on a calculator?
You can find the GCD of 720, 952, 10, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.