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 735, 357, 878, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 357, 878, 106 is 1
GCD(735, 357, 878, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 357, 878, 106 is 1
GCD(735, 357, 878, 106) = 1
Given Input numbers are 735, 357, 878, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 735, 357, 878, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 357, 878, 106 is 1.
Therefore, GCD of numbers 735, 357, 878, 106 is 1
Given Input Data is 735, 357, 878, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 878 is 2 x 439
Prime Factorization of 106 is 2 x 53
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(735, 357) = 12495
GCD(735, 357) = ( 735 x 357 ) / 12495
GCD(735, 357) = 262395 / 12495
GCD(735, 357) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 878) = 18438
GCD(21, 878) = ( 21 x 878 ) / 18438
GCD(21, 878) = 18438 / 18438
GCD(21, 878) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 735, 357, 878, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 357, 878, 106?
GCD of 735, 357, 878, 106 is 1
2. Where do I get the detailed procedure to find GCD of 735, 357, 878, 106?
You can find a detailed procedure to find GCD of 735, 357, 878, 106 on our page.
3. How to find GCD of 735, 357, 878, 106 on a calculator?
You can find the GCD of 735, 357, 878, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.