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, 168, 700 i.e. 7 largest integer that divides all the numbers equally.
GCD of 875, 168, 700 is 7
GCD(875, 168, 700) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 168, 700 is 7
GCD(875, 168, 700) = 7
Given Input numbers are 875, 168, 700
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Greatest Common Divisior
We found the divisors of 875, 168, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 168, 700 is 7.
Therefore, GCD of numbers 875, 168, 700 is 7
Given Input Data is 875, 168, 700
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 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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, 168) = 21000
GCD(875, 168) = ( 875 x 168 ) / 21000
GCD(875, 168) = 147000 / 21000
GCD(875, 168) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 700) = 700
GCD(7, 700) = ( 7 x 700 ) / 700
GCD(7, 700) = 4900 / 700
GCD(7, 700) = 7
GCD of 875, 168, 700 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 168, 700?
GCD of 875, 168, 700 is 7
2. Where do I get the detailed procedure to find GCD of 875, 168, 700?
You can find a detailed procedure to find GCD of 875, 168, 700 on our page.
3. How to find GCD of 875, 168, 700 on a calculator?
You can find the GCD of 875, 168, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.