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 336, 298, 98, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 298, 98, 767 is 1
GCD(336, 298, 98, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 298, 98, 767 is 1
GCD(336, 298, 98, 767) = 1
Given Input numbers are 336, 298, 98, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 336, 298, 98, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 298, 98, 767 is 1.
Therefore, GCD of numbers 336, 298, 98, 767 is 1
Given Input Data is 336, 298, 98, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 298 is 2 x 149
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 767 is 13 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(336, 298) = 50064
GCD(336, 298) = ( 336 x 298 ) / 50064
GCD(336, 298) = 100128 / 50064
GCD(336, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 767) = 1534
GCD(2, 767) = ( 2 x 767 ) / 1534
GCD(2, 767) = 1534 / 1534
GCD(2, 767) = 1
GCD of 336, 298, 98, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 298, 98, 767?
GCD of 336, 298, 98, 767 is 1
2. Where do I get the detailed procedure to find GCD of 336, 298, 98, 767?
You can find a detailed procedure to find GCD of 336, 298, 98, 767 on our page.
3. How to find GCD of 336, 298, 98, 767 on a calculator?
You can find the GCD of 336, 298, 98, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.