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, 391, 946, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 391, 946, 537 is 1
GCD(49, 391, 946, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 391, 946, 537 is 1
GCD(49, 391, 946, 537) = 1
Given Input numbers are 49, 391, 946, 537
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 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 49, 391, 946, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 391, 946, 537 is 1.
Therefore, GCD of numbers 49, 391, 946, 537 is 1
Given Input Data is 49, 391, 946, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 391 is 17 x 23
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 537 is 3 x 179
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, 391) = 19159
GCD(49, 391) = ( 49 x 391 ) / 19159
GCD(49, 391) = 19159 / 19159
GCD(49, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 49, 391, 946, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 391, 946, 537?
GCD of 49, 391, 946, 537 is 1
2. Where do I get the detailed procedure to find GCD of 49, 391, 946, 537?
You can find a detailed procedure to find GCD of 49, 391, 946, 537 on our page.
3. How to find GCD of 49, 391, 946, 537 on a calculator?
You can find the GCD of 49, 391, 946, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.