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 475, 245, 87, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 245, 87, 851 is 1
GCD(475, 245, 87, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 245, 87, 851 is 1
GCD(475, 245, 87, 851) = 1
Given Input numbers are 475, 245, 87, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 475, 245, 87, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 245, 87, 851 is 1.
Therefore, GCD of numbers 475, 245, 87, 851 is 1
Given Input Data is 475, 245, 87, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 87 is 3 x 29
Prime Factorization of 851 is 23 x 37
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(475, 245) = 23275
GCD(475, 245) = ( 475 x 245 ) / 23275
GCD(475, 245) = 116375 / 23275
GCD(475, 245) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 87) = 435
GCD(5, 87) = ( 5 x 87 ) / 435
GCD(5, 87) = 435 / 435
GCD(5, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 475, 245, 87, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 245, 87, 851?
GCD of 475, 245, 87, 851 is 1
2. Where do I get the detailed procedure to find GCD of 475, 245, 87, 851?
You can find a detailed procedure to find GCD of 475, 245, 87, 851 on our page.
3. How to find GCD of 475, 245, 87, 851 on a calculator?
You can find the GCD of 475, 245, 87, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.