GCD of 875, 812, 434 Calculator
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, 812, 434 i.e. 7 largest integer that divides all the numbers equally.
GCD of 875, 812, 434 is 7
GCD(875, 812, 434) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 812, 434 is 7
GCD(875, 812, 434) = 7
GCDof 875,812,434 is 7
Given Input numbers are 875, 812, 434
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 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Greatest Common Divisior
We found the divisors of 875, 812, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 812, 434 is 7.
Therefore, GCD of numbers 875, 812, 434 is 7
Given Input Data is 875, 812, 434
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 812 is 2 x 2 x 7 x 29
Prime Factorization of 434 is 2 x 7 x 31
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 875, 812, 434 using LCM Formula
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, 812) = 101500
GCD(875, 812) = ( 875 x 812 ) / 101500
GCD(875, 812) = 710500 / 101500
GCD(875, 812) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 434) = 434
GCD(7, 434) = ( 7 x 434 ) / 434
GCD(7, 434) = 3038 / 434
GCD(7, 434) = 7
GCD of 875, 812, 434 is 7
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 875, 812, 434
1. What is the GCD of 875, 812, 434?
GCD of 875, 812, 434 is 7
2. Where do I get the detailed procedure to find GCD of 875, 812, 434?
You can find a detailed procedure to find GCD of 875, 812, 434 on our page.
3. How to find GCD of 875, 812, 434 on a calculator?
You can find the GCD of 875, 812, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.