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 840, 924, 52, 532 i.e. 4 largest integer that divides all the numbers equally.
GCD of 840, 924, 52, 532 is 4
GCD(840, 924, 52, 532) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 924, 52, 532 is 4
GCD(840, 924, 52, 532) = 4
Given Input numbers are 840, 924, 52, 532
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Greatest Common Divisior
We found the divisors of 840, 924, 52, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 924, 52, 532 is 4.
Therefore, GCD of numbers 840, 924, 52, 532 is 4
Given Input Data is 840, 924, 52, 532
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 532 is 2 x 2 x 7 x 19
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(840, 924) = 9240
GCD(840, 924) = ( 840 x 924 ) / 9240
GCD(840, 924) = 776160 / 9240
GCD(840, 924) = 84
Step2:
Here we consider the GCD from the above i.e. 84 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(84, 52) = 1092
GCD(84, 52) = ( 84 x 52 ) / 1092
GCD(84, 52) = 4368 / 1092
GCD(84, 52) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 532
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 532) = 532
GCD(4, 532) = ( 4 x 532 ) / 532
GCD(4, 532) = 2128 / 532
GCD(4, 532) = 4
GCD of 840, 924, 52, 532 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 924, 52, 532?
GCD of 840, 924, 52, 532 is 4
2. Where do I get the detailed procedure to find GCD of 840, 924, 52, 532?
You can find a detailed procedure to find GCD of 840, 924, 52, 532 on our page.
3. How to find GCD of 840, 924, 52, 532 on a calculator?
You can find the GCD of 840, 924, 52, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.