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 760, 998, 668, 210 i.e. 2 largest integer that divides all the numbers equally.
GCD of 760, 998, 668, 210 is 2
GCD(760, 998, 668, 210) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 998, 668, 210 is 2
GCD(760, 998, 668, 210) = 2
Given Input numbers are 760, 998, 668, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 998
List of positive integer divisors of 998 that divides 998 without a remainder.
1, 2, 499, 998
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 760, 998, 668, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 998, 668, 210 is 2.
Therefore, GCD of numbers 760, 998, 668, 210 is 2
Given Input Data is 760, 998, 668, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 998 is 2 x 499
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(760, 998) = 379240
GCD(760, 998) = ( 760 x 998 ) / 379240
GCD(760, 998) = 758480 / 379240
GCD(760, 998) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
GCD(2, 668) = 1336 / 668
GCD(2, 668) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 210) = 210
GCD(2, 210) = ( 2 x 210 ) / 210
GCD(2, 210) = 420 / 210
GCD(2, 210) = 2
GCD of 760, 998, 668, 210 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 998, 668, 210?
GCD of 760, 998, 668, 210 is 2
2. Where do I get the detailed procedure to find GCD of 760, 998, 668, 210?
You can find a detailed procedure to find GCD of 760, 998, 668, 210 on our page.
3. How to find GCD of 760, 998, 668, 210 on a calculator?
You can find the GCD of 760, 998, 668, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.