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 875, 175, 90, 545 i.e. 5 largest integer that divides all the numbers equally.
GCD of 875, 175, 90, 545 is 5
GCD(875, 175, 90, 545) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 175, 90, 545 is 5
GCD(875, 175, 90, 545) = 5
Given Input numbers are 875, 175, 90, 545
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Greatest Common Divisior
We found the divisors of 875, 175, 90, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 175, 90, 545 is 5.
Therefore, GCD of numbers 875, 175, 90, 545 is 5
Given Input Data is 875, 175, 90, 545
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 545 is 5 x 109
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(875, 175) = 875
GCD(875, 175) = ( 875 x 175 ) / 875
GCD(875, 175) = 153125 / 875
GCD(875, 175) = 175
Step2:
Here we consider the GCD from the above i.e. 175 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(175, 90) = 3150
GCD(175, 90) = ( 175 x 90 ) / 3150
GCD(175, 90) = 15750 / 3150
GCD(175, 90) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 545
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 545) = 545
GCD(5, 545) = ( 5 x 545 ) / 545
GCD(5, 545) = 2725 / 545
GCD(5, 545) = 5
GCD of 875, 175, 90, 545 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 175, 90, 545?
GCD of 875, 175, 90, 545 is 5
2. Where do I get the detailed procedure to find GCD of 875, 175, 90, 545?
You can find a detailed procedure to find GCD of 875, 175, 90, 545 on our page.
3. How to find GCD of 875, 175, 90, 545 on a calculator?
You can find the GCD of 875, 175, 90, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.