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 746, 674, 98, 839 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 674, 98, 839 is 1
GCD(746, 674, 98, 839) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 674, 98, 839 is 1
GCD(746, 674, 98, 839) = 1
Given Input numbers are 746, 674, 98, 839
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Greatest Common Divisior
We found the divisors of 746, 674, 98, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 674, 98, 839 is 1.
Therefore, GCD of numbers 746, 674, 98, 839 is 1
Given Input Data is 746, 674, 98, 839
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 674 is 2 x 337
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 839 is 839
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(746, 674) = 251402
GCD(746, 674) = ( 746 x 674 ) / 251402
GCD(746, 674) = 502804 / 251402
GCD(746, 674) = 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 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 839) = 1678
GCD(2, 839) = ( 2 x 839 ) / 1678
GCD(2, 839) = 1678 / 1678
GCD(2, 839) = 1
GCD of 746, 674, 98, 839 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 674, 98, 839?
GCD of 746, 674, 98, 839 is 1
2. Where do I get the detailed procedure to find GCD of 746, 674, 98, 839?
You can find a detailed procedure to find GCD of 746, 674, 98, 839 on our page.
3. How to find GCD of 746, 674, 98, 839 on a calculator?
You can find the GCD of 746, 674, 98, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.