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 60, 345, 775, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 345, 775, 634 is 1
GCD(60, 345, 775, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 345, 775, 634 is 1
GCD(60, 345, 775, 634) = 1
Given Input numbers are 60, 345, 775, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 60, 345, 775, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 345, 775, 634 is 1.
Therefore, GCD of numbers 60, 345, 775, 634 is 1
Given Input Data is 60, 345, 775, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 634 is 2 x 317
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(60, 345) = 1380
GCD(60, 345) = ( 60 x 345 ) / 1380
GCD(60, 345) = 20700 / 1380
GCD(60, 345) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 775) = 2325
GCD(15, 775) = ( 15 x 775 ) / 2325
GCD(15, 775) = 11625 / 2325
GCD(15, 775) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 634) = 3170
GCD(5, 634) = ( 5 x 634 ) / 3170
GCD(5, 634) = 3170 / 3170
GCD(5, 634) = 1
GCD of 60, 345, 775, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 345, 775, 634?
GCD of 60, 345, 775, 634 is 1
2. Where do I get the detailed procedure to find GCD of 60, 345, 775, 634?
You can find a detailed procedure to find GCD of 60, 345, 775, 634 on our page.
3. How to find GCD of 60, 345, 775, 634 on a calculator?
You can find the GCD of 60, 345, 775, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.