GCD of 112, 964, 850 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 112, 964, 850 i.e. 2 largest integer that divides all the numbers equally.
GCD of 112, 964, 850 is 2
GCD(112, 964, 850) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 112, 964, 850 is 2
GCD(112, 964, 850) = 2
GCDof 112,964,850 is 2
Given Input numbers are 112, 964, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 112, 964, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 964, 850 is 2.
Therefore, GCD of numbers 112, 964, 850 is 2
Given Input Data is 112, 964, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 850 is 2 x 5 x 5 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 112, 964, 850 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(112, 964) = 26992
GCD(112, 964) = ( 112 x 964 ) / 26992
GCD(112, 964) = 107968 / 26992
GCD(112, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 850) = 1700
GCD(4, 850) = ( 4 x 850 ) / 1700
GCD(4, 850) = 3400 / 1700
GCD(4, 850) = 2
GCD of 112, 964, 850 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 112, 964, 850
1. What is the GCD of 112, 964, 850?
GCD of 112, 964, 850 is 2
2. Where do I get the detailed procedure to find GCD of 112, 964, 850?
You can find a detailed procedure to find GCD of 112, 964, 850 on our page.
3. How to find GCD of 112, 964, 850 on a calculator?
You can find the GCD of 112, 964, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.