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 932, 920, 206, 180 i.e. 2 largest integer that divides all the numbers equally.
GCD of 932, 920, 206, 180 is 2
GCD(932, 920, 206, 180) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 932, 920, 206, 180 is 2
GCD(932, 920, 206, 180) = 2
Given Input numbers are 932, 920, 206, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 932, 920, 206, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 920, 206, 180 is 2.
Therefore, GCD of numbers 932, 920, 206, 180 is 2
Given Input Data is 932, 920, 206, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 206 is 2 x 103
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(932, 920) = 214360
GCD(932, 920) = ( 932 x 920 ) / 214360
GCD(932, 920) = 857440 / 214360
GCD(932, 920) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 206) = 412
GCD(4, 206) = ( 4 x 206 ) / 412
GCD(4, 206) = 824 / 412
GCD(4, 206) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
GCD of 932, 920, 206, 180 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 932, 920, 206, 180?
GCD of 932, 920, 206, 180 is 2
2. Where do I get the detailed procedure to find GCD of 932, 920, 206, 180?
You can find a detailed procedure to find GCD of 932, 920, 206, 180 on our page.
3. How to find GCD of 932, 920, 206, 180 on a calculator?
You can find the GCD of 932, 920, 206, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.