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 70, 309, 222, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 309, 222, 940 is 1
GCD(70, 309, 222, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 309, 222, 940 is 1
GCD(70, 309, 222, 940) = 1
Given Input numbers are 70, 309, 222, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 70, 309, 222, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 309, 222, 940 is 1.
Therefore, GCD of numbers 70, 309, 222, 940 is 1
Given Input Data is 70, 309, 222, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 309 is 3 x 103
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(70, 309) = 21630
GCD(70, 309) = ( 70 x 309 ) / 21630
GCD(70, 309) = 21630 / 21630
GCD(70, 309) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 70, 309, 222, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 309, 222, 940?
GCD of 70, 309, 222, 940 is 1
2. Where do I get the detailed procedure to find GCD of 70, 309, 222, 940?
You can find a detailed procedure to find GCD of 70, 309, 222, 940 on our page.
3. How to find GCD of 70, 309, 222, 940 on a calculator?
You can find the GCD of 70, 309, 222, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.