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, 407, 410, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 407, 410, 137 is 1
GCD(98, 407, 410, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 407, 410, 137 is 1
GCD(98, 407, 410, 137) = 1
Given Input numbers are 98, 407, 410, 137
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 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 98, 407, 410, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 407, 410, 137 is 1.
Therefore, GCD of numbers 98, 407, 410, 137 is 1
Given Input Data is 98, 407, 410, 137
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 407 is 11 x 37
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 137 is 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, 407) = 39886
GCD(98, 407) = ( 98 x 407 ) / 39886
GCD(98, 407) = 39886 / 39886
GCD(98, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 98, 407, 410, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 407, 410, 137?
GCD of 98, 407, 410, 137 is 1
2. Where do I get the detailed procedure to find GCD of 98, 407, 410, 137?
You can find a detailed procedure to find GCD of 98, 407, 410, 137 on our page.
3. How to find GCD of 98, 407, 410, 137 on a calculator?
You can find the GCD of 98, 407, 410, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.