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 710, 720, 945, 888 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 720, 945, 888 is 1
GCD(710, 720, 945, 888) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 720, 945, 888 is 1
GCD(710, 720, 945, 888) = 1
Given Input numbers are 710, 720, 945, 888
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
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 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Greatest Common Divisior
We found the divisors of 710, 720, 945, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 720, 945, 888 is 1.
Therefore, GCD of numbers 710, 720, 945, 888 is 1
Given Input Data is 710, 720, 945, 888
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
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(710, 720) = 51120
GCD(710, 720) = ( 710 x 720 ) / 51120
GCD(710, 720) = 511200 / 51120
GCD(710, 720) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 945) = 1890
GCD(10, 945) = ( 10 x 945 ) / 1890
GCD(10, 945) = 9450 / 1890
GCD(10, 945) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 888
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 888) = 4440
GCD(5, 888) = ( 5 x 888 ) / 4440
GCD(5, 888) = 4440 / 4440
GCD(5, 888) = 1
GCD of 710, 720, 945, 888 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 720, 945, 888?
GCD of 710, 720, 945, 888 is 1
2. Where do I get the detailed procedure to find GCD of 710, 720, 945, 888?
You can find a detailed procedure to find GCD of 710, 720, 945, 888 on our page.
3. How to find GCD of 710, 720, 945, 888 on a calculator?
You can find the GCD of 710, 720, 945, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.