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 49, 956, 487, 978 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 956, 487, 978 is 1
GCD(49, 956, 487, 978) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 956, 487, 978 is 1
GCD(49, 956, 487, 978) = 1
Given Input numbers are 49, 956, 487, 978
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 487
List of positive integer divisors of 487 that divides 487 without a remainder.
1, 487
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Greatest Common Divisior
We found the divisors of 49, 956, 487, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 956, 487, 978 is 1.
Therefore, GCD of numbers 49, 956, 487, 978 is 1
Given Input Data is 49, 956, 487, 978
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 487 is 487
Prime Factorization of 978 is 2 x 3 x 163
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(49, 956) = 46844
GCD(49, 956) = ( 49 x 956 ) / 46844
GCD(49, 956) = 46844 / 46844
GCD(49, 956) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 487
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 487) = 487
GCD(1, 487) = ( 1 x 487 ) / 487
GCD(1, 487) = 487 / 487
GCD(1, 487) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 978
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 978) = 978
GCD(1, 978) = ( 1 x 978 ) / 978
GCD(1, 978) = 978 / 978
GCD(1, 978) = 1
GCD of 49, 956, 487, 978 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 956, 487, 978?
GCD of 49, 956, 487, 978 is 1
2. Where do I get the detailed procedure to find GCD of 49, 956, 487, 978?
You can find a detailed procedure to find GCD of 49, 956, 487, 978 on our page.
3. How to find GCD of 49, 956, 487, 978 on a calculator?
You can find the GCD of 49, 956, 487, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.