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 938, 945, 769, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 938, 945, 769, 841 is 1
GCD(938, 945, 769, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 938, 945, 769, 841 is 1
GCD(938, 945, 769, 841) = 1
Given Input numbers are 938, 945, 769, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 938, 945, 769, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 945, 769, 841 is 1.
Therefore, GCD of numbers 938, 945, 769, 841 is 1
Given Input Data is 938, 945, 769, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 769 is 769
Prime Factorization of 841 is 29 x 29
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(938, 945) = 126630
GCD(938, 945) = ( 938 x 945 ) / 126630
GCD(938, 945) = 886410 / 126630
GCD(938, 945) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 769
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 769) = 5383
GCD(7, 769) = ( 7 x 769 ) / 5383
GCD(7, 769) = 5383 / 5383
GCD(7, 769) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 938, 945, 769, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 938, 945, 769, 841?
GCD of 938, 945, 769, 841 is 1
2. Where do I get the detailed procedure to find GCD of 938, 945, 769, 841?
You can find a detailed procedure to find GCD of 938, 945, 769, 841 on our page.
3. How to find GCD of 938, 945, 769, 841 on a calculator?
You can find the GCD of 938, 945, 769, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.