GCD of 840, 732, 208 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 840, 732, 208 i.e. 4 largest integer that divides all the numbers equally.
GCD of 840, 732, 208 is 4
GCD(840, 732, 208) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 732, 208 is 4
GCD(840, 732, 208) = 4
GCDof 840,732,208 is 4
Given Input numbers are 840, 732, 208
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 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Greatest Common Divisior
We found the divisors of 840, 732, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 732, 208 is 4.
Therefore, GCD of numbers 840, 732, 208 is 4
Given Input Data is 840, 732, 208
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 732 is 2 x 2 x 3 x 61
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 840, 732, 208 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(840, 732) = 51240
GCD(840, 732) = ( 840 x 732 ) / 51240
GCD(840, 732) = 614880 / 51240
GCD(840, 732) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 208) = 624
GCD(12, 208) = ( 12 x 208 ) / 624
GCD(12, 208) = 2496 / 624
GCD(12, 208) = 4
GCD of 840, 732, 208 is 4
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FAQs on GCD of numbers 840, 732, 208
1. What is the GCD of 840, 732, 208?
GCD of 840, 732, 208 is 4
2. Where do I get the detailed procedure to find GCD of 840, 732, 208?
You can find a detailed procedure to find GCD of 840, 732, 208 on our page.
3. How to find GCD of 840, 732, 208 on a calculator?
You can find the GCD of 840, 732, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.