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 945, 395, 220, 126 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 395, 220, 126 is 1
GCD(945, 395, 220, 126) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 395, 220, 126 is 1
GCD(945, 395, 220, 126) = 1
Given Input numbers are 945, 395, 220, 126
To find the GCD of numbers using factoring list out all the divisors of each number
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 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Greatest Common Divisior
We found the divisors of 945, 395, 220, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 395, 220, 126 is 1.
Therefore, GCD of numbers 945, 395, 220, 126 is 1
Given Input Data is 945, 395, 220, 126
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 395 is 5 x 79
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 126 is 2 x 3 x 3 x 7
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(945, 395) = 74655
GCD(945, 395) = ( 945 x 395 ) / 74655
GCD(945, 395) = 373275 / 74655
GCD(945, 395) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 220) = 220
GCD(5, 220) = ( 5 x 220 ) / 220
GCD(5, 220) = 1100 / 220
GCD(5, 220) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 126
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 126) = 630
GCD(5, 126) = ( 5 x 126 ) / 630
GCD(5, 126) = 630 / 630
GCD(5, 126) = 1
GCD of 945, 395, 220, 126 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 395, 220, 126?
GCD of 945, 395, 220, 126 is 1
2. Where do I get the detailed procedure to find GCD of 945, 395, 220, 126?
You can find a detailed procedure to find GCD of 945, 395, 220, 126 on our page.
3. How to find GCD of 945, 395, 220, 126 on a calculator?
You can find the GCD of 945, 395, 220, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.