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 645, 103, 98, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 103, 98, 137 is 1
GCD(645, 103, 98, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 103, 98, 137 is 1
GCD(645, 103, 98, 137) = 1
Given Input numbers are 645, 103, 98, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
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 645, 103, 98, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 103, 98, 137 is 1.
Therefore, GCD of numbers 645, 103, 98, 137 is 1
Given Input Data is 645, 103, 98, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 103 is 103
Prime Factorization of 98 is 2 x 7 x 7
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(645, 103) = 66435
GCD(645, 103) = ( 645 x 103 ) / 66435
GCD(645, 103) = 66435 / 66435
GCD(645, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 98) = 98
GCD(1, 98) = ( 1 x 98 ) / 98
GCD(1, 98) = 98 / 98
GCD(1, 98) = 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 645, 103, 98, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 103, 98, 137?
GCD of 645, 103, 98, 137 is 1
2. Where do I get the detailed procedure to find GCD of 645, 103, 98, 137?
You can find a detailed procedure to find GCD of 645, 103, 98, 137 on our page.
3. How to find GCD of 645, 103, 98, 137 on a calculator?
You can find the GCD of 645, 103, 98, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.