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, 117, 945, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 117, 945, 941 is 1
GCD(49, 117, 945, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 117, 945, 941 is 1
GCD(49, 117, 945, 941) = 1
Given Input numbers are 49, 117, 945, 941
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 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
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 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 49, 117, 945, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 117, 945, 941 is 1.
Therefore, GCD of numbers 49, 117, 945, 941 is 1
Given Input Data is 49, 117, 945, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 941 is 941
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, 117) = 5733
GCD(49, 117) = ( 49 x 117 ) / 5733
GCD(49, 117) = 5733 / 5733
GCD(49, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
GCD(1, 945) = 945 / 945
GCD(1, 945) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 941) = 941
GCD(1, 941) = ( 1 x 941 ) / 941
GCD(1, 941) = 941 / 941
GCD(1, 941) = 1
GCD of 49, 117, 945, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 117, 945, 941?
GCD of 49, 117, 945, 941 is 1
2. Where do I get the detailed procedure to find GCD of 49, 117, 945, 941?
You can find a detailed procedure to find GCD of 49, 117, 945, 941 on our page.
3. How to find GCD of 49, 117, 945, 941 on a calculator?
You can find the GCD of 49, 117, 945, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.