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, 572, 771, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 572, 771, 938 is 1
GCD(49, 572, 771, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 572, 771, 938 is 1
GCD(49, 572, 771, 938) = 1
Given Input numbers are 49, 572, 771, 938
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 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 49, 572, 771, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 572, 771, 938 is 1.
Therefore, GCD of numbers 49, 572, 771, 938 is 1
Given Input Data is 49, 572, 771, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 771 is 3 x 257
Prime Factorization of 938 is 2 x 7 x 67
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, 572) = 28028
GCD(49, 572) = ( 49 x 572 ) / 28028
GCD(49, 572) = 28028 / 28028
GCD(49, 572) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 49, 572, 771, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 572, 771, 938?
GCD of 49, 572, 771, 938 is 1
2. Where do I get the detailed procedure to find GCD of 49, 572, 771, 938?
You can find a detailed procedure to find GCD of 49, 572, 771, 938 on our page.
3. How to find GCD of 49, 572, 771, 938 on a calculator?
You can find the GCD of 49, 572, 771, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.