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 750, 880, 82, 476 i.e. 2 largest integer that divides all the numbers equally.
GCD of 750, 880, 82, 476 is 2
GCD(750, 880, 82, 476) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 880, 82, 476 is 2
GCD(750, 880, 82, 476) = 2
Given Input numbers are 750, 880, 82, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 750, 880, 82, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 880, 82, 476 is 2.
Therefore, GCD of numbers 750, 880, 82, 476 is 2
Given Input Data is 750, 880, 82, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 82 is 2 x 41
Prime Factorization of 476 is 2 x 2 x 7 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(750, 880) = 66000
GCD(750, 880) = ( 750 x 880 ) / 66000
GCD(750, 880) = 660000 / 66000
GCD(750, 880) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 82) = 410
GCD(10, 82) = ( 10 x 82 ) / 410
GCD(10, 82) = 820 / 410
GCD(10, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
GCD(2, 476) = 952 / 476
GCD(2, 476) = 2
GCD of 750, 880, 82, 476 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 880, 82, 476?
GCD of 750, 880, 82, 476 is 2
2. Where do I get the detailed procedure to find GCD of 750, 880, 82, 476?
You can find a detailed procedure to find GCD of 750, 880, 82, 476 on our page.
3. How to find GCD of 750, 880, 82, 476 on a calculator?
You can find the GCD of 750, 880, 82, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.