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 245, 350, 984, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 350, 984, 261 is 1
GCD(245, 350, 984, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 350, 984, 261 is 1
GCD(245, 350, 984, 261) = 1
Given Input numbers are 245, 350, 984, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 245, 350, 984, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 350, 984, 261 is 1.
Therefore, GCD of numbers 245, 350, 984, 261 is 1
Given Input Data is 245, 350, 984, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 261 is 3 x 3 x 29
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(245, 350) = 2450
GCD(245, 350) = ( 245 x 350 ) / 2450
GCD(245, 350) = 85750 / 2450
GCD(245, 350) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 984) = 34440
GCD(35, 984) = ( 35 x 984 ) / 34440
GCD(35, 984) = 34440 / 34440
GCD(35, 984) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 245, 350, 984, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 350, 984, 261?
GCD of 245, 350, 984, 261 is 1
2. Where do I get the detailed procedure to find GCD of 245, 350, 984, 261?
You can find a detailed procedure to find GCD of 245, 350, 984, 261 on our page.
3. How to find GCD of 245, 350, 984, 261 on a calculator?
You can find the GCD of 245, 350, 984, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.