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 188, 840, 14, 624 i.e. 2 largest integer that divides all the numbers equally.
GCD of 188, 840, 14, 624 is 2
GCD(188, 840, 14, 624) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 188, 840, 14, 624 is 2
GCD(188, 840, 14, 624) = 2
Given Input numbers are 188, 840, 14, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 188, 840, 14, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 840, 14, 624 is 2.
Therefore, GCD of numbers 188, 840, 14, 624 is 2
Given Input Data is 188, 840, 14, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 14 is 2 x 7
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(188, 840) = 39480
GCD(188, 840) = ( 188 x 840 ) / 39480
GCD(188, 840) = 157920 / 39480
GCD(188, 840) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 14) = 28
GCD(4, 14) = ( 4 x 14 ) / 28
GCD(4, 14) = 56 / 28
GCD(4, 14) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 624) = 624
GCD(2, 624) = ( 2 x 624 ) / 624
GCD(2, 624) = 1248 / 624
GCD(2, 624) = 2
GCD of 188, 840, 14, 624 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 188, 840, 14, 624?
GCD of 188, 840, 14, 624 is 2
2. Where do I get the detailed procedure to find GCD of 188, 840, 14, 624?
You can find a detailed procedure to find GCD of 188, 840, 14, 624 on our page.
3. How to find GCD of 188, 840, 14, 624 on a calculator?
You can find the GCD of 188, 840, 14, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.