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, 429, 87, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 429, 87, 678 is 1
GCD(245, 429, 87, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 429, 87, 678 is 1
GCD(245, 429, 87, 678) = 1
Given Input numbers are 245, 429, 87, 678
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 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 245, 429, 87, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 429, 87, 678 is 1.
Therefore, GCD of numbers 245, 429, 87, 678 is 1
Given Input Data is 245, 429, 87, 678
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 429 is 3 x 11 x 13
Prime Factorization of 87 is 3 x 29
Prime Factorization of 678 is 2 x 3 x 113
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, 429) = 105105
GCD(245, 429) = ( 245 x 429 ) / 105105
GCD(245, 429) = 105105 / 105105
GCD(245, 429) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 87) = 87
GCD(1, 87) = ( 1 x 87 ) / 87
GCD(1, 87) = 87 / 87
GCD(1, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 245, 429, 87, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 245, 429, 87, 678?
GCD of 245, 429, 87, 678 is 1
2. Where do I get the detailed procedure to find GCD of 245, 429, 87, 678?
You can find a detailed procedure to find GCD of 245, 429, 87, 678 on our page.
3. How to find GCD of 245, 429, 87, 678 on a calculator?
You can find the GCD of 245, 429, 87, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.