GCD of 945, 294, 834 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 945, 294, 834 i.e. 3 largest integer that divides all the numbers equally.
GCD of 945, 294, 834 is 3
GCD(945, 294, 834) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 294, 834 is 3
GCD(945, 294, 834) = 3
GCDof 945,294,834 is 3
Given Input numbers are 945, 294, 834
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Greatest Common Divisior
We found the divisors of 945, 294, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 294, 834 is 3.
Therefore, GCD of numbers 945, 294, 834 is 3
Given Input Data is 945, 294, 834
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 834 is 2 x 3 x 139
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 945, 294, 834 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(945, 294) = 13230
GCD(945, 294) = ( 945 x 294 ) / 13230
GCD(945, 294) = 277830 / 13230
GCD(945, 294) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 834) = 5838
GCD(21, 834) = ( 21 x 834 ) / 5838
GCD(21, 834) = 17514 / 5838
GCD(21, 834) = 3
GCD of 945, 294, 834 is 3
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FAQs on GCD of numbers 945, 294, 834
1. What is the GCD of 945, 294, 834?
GCD of 945, 294, 834 is 3
2. Where do I get the detailed procedure to find GCD of 945, 294, 834?
You can find a detailed procedure to find GCD of 945, 294, 834 on our page.
3. How to find GCD of 945, 294, 834 on a calculator?
You can find the GCD of 945, 294, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.