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 949, 705, 60 i.e. 1 largest integer that divides all the numbers equally.
GCD of 949, 705, 60 is 1
GCD(949, 705, 60) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 949, 705, 60 is 1
GCD(949, 705, 60) = 1
Given Input numbers are 949, 705, 60
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
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
Greatest Common Divisior
We found the divisors of 949, 705, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 705, 60 is 1.
Therefore, GCD of numbers 949, 705, 60 is 1
Given Input Data is 949, 705, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 949 is 13 x 73
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 60 is 2 x 2 x 3 x 5
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(949, 705) = 669045
GCD(949, 705) = ( 949 x 705 ) / 669045
GCD(949, 705) = 669045 / 669045
GCD(949, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
GCD of 949, 705, 60 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 949, 705, 60?
GCD of 949, 705, 60 is 1
2. Where do I get the detailed procedure to find GCD of 949, 705, 60?
You can find a detailed procedure to find GCD of 949, 705, 60 on our page.
3. How to find GCD of 949, 705, 60 on a calculator?
You can find the GCD of 949, 705, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.