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 707, 648, 114, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 648, 114, 731 is 1
GCD(707, 648, 114, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 648, 114, 731 is 1
GCD(707, 648, 114, 731) = 1
Given Input numbers are 707, 648, 114, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 707, 648, 114, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 648, 114, 731 is 1.
Therefore, GCD of numbers 707, 648, 114, 731 is 1
Given Input Data is 707, 648, 114, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 731 is 17 x 43
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(707, 648) = 458136
GCD(707, 648) = ( 707 x 648 ) / 458136
GCD(707, 648) = 458136 / 458136
GCD(707, 648) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 707, 648, 114, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 648, 114, 731?
GCD of 707, 648, 114, 731 is 1
2. Where do I get the detailed procedure to find GCD of 707, 648, 114, 731?
You can find a detailed procedure to find GCD of 707, 648, 114, 731 on our page.
3. How to find GCD of 707, 648, 114, 731 on a calculator?
You can find the GCD of 707, 648, 114, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.