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 98, 774, 737, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 774, 737, 959 is 1
GCD(98, 774, 737, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 774, 737, 959 is 1
GCD(98, 774, 737, 959) = 1
Given Input numbers are 98, 774, 737, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 98, 774, 737, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 774, 737, 959 is 1.
Therefore, GCD of numbers 98, 774, 737, 959 is 1
Given Input Data is 98, 774, 737, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 737 is 11 x 67
Prime Factorization of 959 is 7 x 137
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(98, 774) = 37926
GCD(98, 774) = ( 98 x 774 ) / 37926
GCD(98, 774) = 75852 / 37926
GCD(98, 774) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 98, 774, 737, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 774, 737, 959?
GCD of 98, 774, 737, 959 is 1
2. Where do I get the detailed procedure to find GCD of 98, 774, 737, 959?
You can find a detailed procedure to find GCD of 98, 774, 737, 959 on our page.
3. How to find GCD of 98, 774, 737, 959 on a calculator?
You can find the GCD of 98, 774, 737, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.