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 44, 766, 377, 470 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 766, 377, 470 is 1
GCD(44, 766, 377, 470) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 766, 377, 470 is 1
GCD(44, 766, 377, 470) = 1
Given Input numbers are 44, 766, 377, 470
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Greatest Common Divisior
We found the divisors of 44, 766, 377, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 766, 377, 470 is 1.
Therefore, GCD of numbers 44, 766, 377, 470 is 1
Given Input Data is 44, 766, 377, 470
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 766 is 2 x 383
Prime Factorization of 377 is 13 x 29
Prime Factorization of 470 is 2 x 5 x 47
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(44, 766) = 16852
GCD(44, 766) = ( 44 x 766 ) / 16852
GCD(44, 766) = 33704 / 16852
GCD(44, 766) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 377) = 754
GCD(2, 377) = ( 2 x 377 ) / 754
GCD(2, 377) = 754 / 754
GCD(2, 377) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
GCD of 44, 766, 377, 470 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 766, 377, 470?
GCD of 44, 766, 377, 470 is 1
2. Where do I get the detailed procedure to find GCD of 44, 766, 377, 470?
You can find a detailed procedure to find GCD of 44, 766, 377, 470 on our page.
3. How to find GCD of 44, 766, 377, 470 on a calculator?
You can find the GCD of 44, 766, 377, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.