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 535, 975, 10, 745 i.e. 5 largest integer that divides all the numbers equally.
GCD of 535, 975, 10, 745 is 5
GCD(535, 975, 10, 745) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 975, 10, 745 is 5
GCD(535, 975, 10, 745) = 5
Given Input numbers are 535, 975, 10, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 535, 975, 10, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 975, 10, 745 is 5.
Therefore, GCD of numbers 535, 975, 10, 745 is 5
Given Input Data is 535, 975, 10, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 10 is 2 x 5
Prime Factorization of 745 is 5 x 149
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(535, 975) = 104325
GCD(535, 975) = ( 535 x 975 ) / 104325
GCD(535, 975) = 521625 / 104325
GCD(535, 975) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 10) = 10
GCD(5, 10) = ( 5 x 10 ) / 10
GCD(5, 10) = 50 / 10
GCD(5, 10) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 745) = 745
GCD(5, 745) = ( 5 x 745 ) / 745
GCD(5, 745) = 3725 / 745
GCD(5, 745) = 5
GCD of 535, 975, 10, 745 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 975, 10, 745?
GCD of 535, 975, 10, 745 is 5
2. Where do I get the detailed procedure to find GCD of 535, 975, 10, 745?
You can find a detailed procedure to find GCD of 535, 975, 10, 745 on our page.
3. How to find GCD of 535, 975, 10, 745 on a calculator?
You can find the GCD of 535, 975, 10, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.