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 715, 975, 95, 265 i.e. 5 largest integer that divides all the numbers equally.
GCD of 715, 975, 95, 265 is 5
GCD(715, 975, 95, 265) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 715, 975, 95, 265 is 5
GCD(715, 975, 95, 265) = 5
Given Input numbers are 715, 975, 95, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
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 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 715, 975, 95, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 975, 95, 265 is 5.
Therefore, GCD of numbers 715, 975, 95, 265 is 5
Given Input Data is 715, 975, 95, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 95 is 5 x 19
Prime Factorization of 265 is 5 x 53
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(715, 975) = 10725
GCD(715, 975) = ( 715 x 975 ) / 10725
GCD(715, 975) = 697125 / 10725
GCD(715, 975) = 65
Step2:
Here we consider the GCD from the above i.e. 65 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(65, 95) = 1235
GCD(65, 95) = ( 65 x 95 ) / 1235
GCD(65, 95) = 6175 / 1235
GCD(65, 95) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 265) = 265
GCD(5, 265) = ( 5 x 265 ) / 265
GCD(5, 265) = 1325 / 265
GCD(5, 265) = 5
GCD of 715, 975, 95, 265 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 715, 975, 95, 265?
GCD of 715, 975, 95, 265 is 5
2. Where do I get the detailed procedure to find GCD of 715, 975, 95, 265?
You can find a detailed procedure to find GCD of 715, 975, 95, 265 on our page.
3. How to find GCD of 715, 975, 95, 265 on a calculator?
You can find the GCD of 715, 975, 95, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.