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 200, 245, 98, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 245, 98, 907 is 1
GCD(200, 245, 98, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 245, 98, 907 is 1
GCD(200, 245, 98, 907) = 1
Given Input numbers are 200, 245, 98, 907
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 200, 245, 98, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 245, 98, 907 is 1.
Therefore, GCD of numbers 200, 245, 98, 907 is 1
Given Input Data is 200, 245, 98, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 907 is 907
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(200, 245) = 9800
GCD(200, 245) = ( 200 x 245 ) / 9800
GCD(200, 245) = 49000 / 9800
GCD(200, 245) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 98) = 490
GCD(5, 98) = ( 5 x 98 ) / 490
GCD(5, 98) = 490 / 490
GCD(5, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 200, 245, 98, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 245, 98, 907?
GCD of 200, 245, 98, 907 is 1
2. Where do I get the detailed procedure to find GCD of 200, 245, 98, 907?
You can find a detailed procedure to find GCD of 200, 245, 98, 907 on our page.
3. How to find GCD of 200, 245, 98, 907 on a calculator?
You can find the GCD of 200, 245, 98, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.