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 236, 700, 43, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 700, 43, 310 is 1
GCD(236, 700, 43, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 700, 43, 310 is 1
GCD(236, 700, 43, 310) = 1
Given Input numbers are 236, 700, 43, 310
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
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 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 236, 700, 43, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 700, 43, 310 is 1.
Therefore, GCD of numbers 236, 700, 43, 310 is 1
Given Input Data is 236, 700, 43, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 43 is 43
Prime Factorization of 310 is 2 x 5 x 31
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(236, 700) = 41300
GCD(236, 700) = ( 236 x 700 ) / 41300
GCD(236, 700) = 165200 / 41300
GCD(236, 700) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 43) = 172
GCD(4, 43) = ( 4 x 43 ) / 172
GCD(4, 43) = 172 / 172
GCD(4, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 236, 700, 43, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 700, 43, 310?
GCD of 236, 700, 43, 310 is 1
2. Where do I get the detailed procedure to find GCD of 236, 700, 43, 310?
You can find a detailed procedure to find GCD of 236, 700, 43, 310 on our page.
3. How to find GCD of 236, 700, 43, 310 on a calculator?
You can find the GCD of 236, 700, 43, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.