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 125, 755, 95, 715 i.e. 5 largest integer that divides all the numbers equally.
GCD of 125, 755, 95, 715 is 5
GCD(125, 755, 95, 715) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 755, 95, 715 is 5
GCD(125, 755, 95, 715) = 5
Given Input numbers are 125, 755, 95, 715
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Greatest Common Divisior
We found the divisors of 125, 755, 95, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 755, 95, 715 is 5.
Therefore, GCD of numbers 125, 755, 95, 715 is 5
Given Input Data is 125, 755, 95, 715
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 755 is 5 x 151
Prime Factorization of 95 is 5 x 19
Prime Factorization of 715 is 5 x 11 x 13
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(125, 755) = 18875
GCD(125, 755) = ( 125 x 755 ) / 18875
GCD(125, 755) = 94375 / 18875
GCD(125, 755) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 95) = 95
GCD(5, 95) = ( 5 x 95 ) / 95
GCD(5, 95) = 475 / 95
GCD(5, 95) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 715) = 715
GCD(5, 715) = ( 5 x 715 ) / 715
GCD(5, 715) = 3575 / 715
GCD(5, 715) = 5
GCD of 125, 755, 95, 715 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 755, 95, 715?
GCD of 125, 755, 95, 715 is 5
2. Where do I get the detailed procedure to find GCD of 125, 755, 95, 715?
You can find a detailed procedure to find GCD of 125, 755, 95, 715 on our page.
3. How to find GCD of 125, 755, 95, 715 on a calculator?
You can find the GCD of 125, 755, 95, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.