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, 217, 539, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 217, 539, 118 is 1
GCD(70, 217, 539, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 217, 539, 118 is 1
GCD(70, 217, 539, 118) = 1
Given Input numbers are 70, 217, 539, 118
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 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 70, 217, 539, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 217, 539, 118 is 1.
Therefore, GCD of numbers 70, 217, 539, 118 is 1
Given Input Data is 70, 217, 539, 118
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 217 is 7 x 31
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 118 is 2 x 59
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, 217) = 2170
GCD(70, 217) = ( 70 x 217 ) / 2170
GCD(70, 217) = 15190 / 2170
GCD(70, 217) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 539) = 539
GCD(7, 539) = ( 7 x 539 ) / 539
GCD(7, 539) = 3773 / 539
GCD(7, 539) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 118) = 826
GCD(7, 118) = ( 7 x 118 ) / 826
GCD(7, 118) = 826 / 826
GCD(7, 118) = 1
GCD of 70, 217, 539, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 217, 539, 118?
GCD of 70, 217, 539, 118 is 1
2. Where do I get the detailed procedure to find GCD of 70, 217, 539, 118?
You can find a detailed procedure to find GCD of 70, 217, 539, 118 on our page.
3. How to find GCD of 70, 217, 539, 118 on a calculator?
You can find the GCD of 70, 217, 539, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.