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, 465, 329, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 465, 329, 707 is 1
GCD(245, 465, 329, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 465, 329, 707 is 1
GCD(245, 465, 329, 707) = 1
Given Input numbers are 245, 465, 329, 707
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 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 245, 465, 329, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 465, 329, 707 is 1.
Therefore, GCD of numbers 245, 465, 329, 707 is 1
Given Input Data is 245, 465, 329, 707
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 465 is 3 x 5 x 31
Prime Factorization of 329 is 7 x 47
Prime Factorization of 707 is 7 x 101
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, 465) = 22785
GCD(245, 465) = ( 245 x 465 ) / 22785
GCD(245, 465) = 113925 / 22785
GCD(245, 465) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 329) = 1645
GCD(5, 329) = ( 5 x 329 ) / 1645
GCD(5, 329) = 1645 / 1645
GCD(5, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 245, 465, 329, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 465, 329, 707?
GCD of 245, 465, 329, 707 is 1
2. Where do I get the detailed procedure to find GCD of 245, 465, 329, 707?
You can find a detailed procedure to find GCD of 245, 465, 329, 707 on our page.
3. How to find GCD of 245, 465, 329, 707 on a calculator?
You can find the GCD of 245, 465, 329, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.