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 700, 116, 65, 807 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 116, 65, 807 is 1
GCD(700, 116, 65, 807) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 116, 65, 807 is 1
GCD(700, 116, 65, 807) = 1
Given Input numbers are 700, 116, 65, 807
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Greatest Common Divisior
We found the divisors of 700, 116, 65, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 116, 65, 807 is 1.
Therefore, GCD of numbers 700, 116, 65, 807 is 1
Given Input Data is 700, 116, 65, 807
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 65 is 5 x 13
Prime Factorization of 807 is 3 x 269
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(700, 116) = 20300
GCD(700, 116) = ( 700 x 116 ) / 20300
GCD(700, 116) = 81200 / 20300
GCD(700, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 65) = 260
GCD(4, 65) = ( 4 x 65 ) / 260
GCD(4, 65) = 260 / 260
GCD(4, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 807) = 807
GCD(1, 807) = ( 1 x 807 ) / 807
GCD(1, 807) = 807 / 807
GCD(1, 807) = 1
GCD of 700, 116, 65, 807 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 116, 65, 807?
GCD of 700, 116, 65, 807 is 1
2. Where do I get the detailed procedure to find GCD of 700, 116, 65, 807?
You can find a detailed procedure to find GCD of 700, 116, 65, 807 on our page.
3. How to find GCD of 700, 116, 65, 807 on a calculator?
You can find the GCD of 700, 116, 65, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.