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, 674, 99, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 674, 99, 755 is 1
GCD(875, 674, 99, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 674, 99, 755 is 1
GCD(875, 674, 99, 755) = 1
Given Input numbers are 875, 674, 99, 755
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 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 875, 674, 99, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 674, 99, 755 is 1.
Therefore, GCD of numbers 875, 674, 99, 755 is 1
Given Input Data is 875, 674, 99, 755
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 674 is 2 x 337
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 755 is 5 x 151
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(875, 674) = 589750
GCD(875, 674) = ( 875 x 674 ) / 589750
GCD(875, 674) = 589750 / 589750
GCD(875, 674) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 875, 674, 99, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 674, 99, 755?
GCD of 875, 674, 99, 755 is 1
2. Where do I get the detailed procedure to find GCD of 875, 674, 99, 755?
You can find a detailed procedure to find GCD of 875, 674, 99, 755 on our page.
3. How to find GCD of 875, 674, 99, 755 on a calculator?
You can find the GCD of 875, 674, 99, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.