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, 242, 388, 220 i.e. 2 largest integer that divides all the numbers equally.
GCD of 70, 242, 388, 220 is 2
GCD(70, 242, 388, 220) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 242, 388, 220 is 2
GCD(70, 242, 388, 220) = 2
Given Input numbers are 70, 242, 388, 220
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 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 70, 242, 388, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 242, 388, 220 is 2.
Therefore, GCD of numbers 70, 242, 388, 220 is 2
Given Input Data is 70, 242, 388, 220
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 242 is 2 x 11 x 11
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 220 is 2 x 2 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 242) = 8470
GCD(70, 242) = ( 70 x 242 ) / 8470
GCD(70, 242) = 16940 / 8470
GCD(70, 242) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 388) = 388
GCD(2, 388) = ( 2 x 388 ) / 388
GCD(2, 388) = 776 / 388
GCD(2, 388) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 220) = 220
GCD(2, 220) = ( 2 x 220 ) / 220
GCD(2, 220) = 440 / 220
GCD(2, 220) = 2
GCD of 70, 242, 388, 220 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 242, 388, 220?
GCD of 70, 242, 388, 220 is 2
2. Where do I get the detailed procedure to find GCD of 70, 242, 388, 220?
You can find a detailed procedure to find GCD of 70, 242, 388, 220 on our page.
3. How to find GCD of 70, 242, 388, 220 on a calculator?
You can find the GCD of 70, 242, 388, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.