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 924, 692, 170 i.e. 2 largest integer that divides all the numbers equally.
GCD of 924, 692, 170 is 2
GCD(924, 692, 170) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 692, 170 is 2
GCD(924, 692, 170) = 2
Given Input numbers are 924, 692, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 924, 692, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 692, 170 is 2.
Therefore, GCD of numbers 924, 692, 170 is 2
Given Input Data is 924, 692, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 170 is 2 x 5 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(924, 692) = 159852
GCD(924, 692) = ( 924 x 692 ) / 159852
GCD(924, 692) = 639408 / 159852
GCD(924, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 170) = 340
GCD(4, 170) = ( 4 x 170 ) / 340
GCD(4, 170) = 680 / 340
GCD(4, 170) = 2
GCD of 924, 692, 170 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 692, 170?
GCD of 924, 692, 170 is 2
2. Where do I get the detailed procedure to find GCD of 924, 692, 170?
You can find a detailed procedure to find GCD of 924, 692, 170 on our page.
3. How to find GCD of 924, 692, 170 on a calculator?
You can find the GCD of 924, 692, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.