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 175, 476, 44, 802 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 476, 44, 802 is 1
GCD(175, 476, 44, 802) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 476, 44, 802 is 1
GCD(175, 476, 44, 802) = 1
Given Input numbers are 175, 476, 44, 802
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
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
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Greatest Common Divisior
We found the divisors of 175, 476, 44, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 476, 44, 802 is 1.
Therefore, GCD of numbers 175, 476, 44, 802 is 1
Given Input Data is 175, 476, 44, 802
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 802 is 2 x 401
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(175, 476) = 11900
GCD(175, 476) = ( 175 x 476 ) / 11900
GCD(175, 476) = 83300 / 11900
GCD(175, 476) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 44) = 308
GCD(7, 44) = ( 7 x 44 ) / 308
GCD(7, 44) = 308 / 308
GCD(7, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
GCD of 175, 476, 44, 802 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 476, 44, 802?
GCD of 175, 476, 44, 802 is 1
2. Where do I get the detailed procedure to find GCD of 175, 476, 44, 802?
You can find a detailed procedure to find GCD of 175, 476, 44, 802 on our page.
3. How to find GCD of 175, 476, 44, 802 on a calculator?
You can find the GCD of 175, 476, 44, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.