GCD of 672, 360, 104 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 672, 360, 104 i.e. 8 largest integer that divides all the numbers equally.
GCD of 672, 360, 104 is 8
GCD(672, 360, 104) = 8
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 672, 360, 104 is 8
GCD(672, 360, 104) = 8
GCDof 672,360,104 is 8
Given Input numbers are 672, 360, 104
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Greatest Common Divisior
We found the divisors of 672, 360, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 360, 104 is 8.
Therefore, GCD of numbers 672, 360, 104 is 8
Given Input Data is 672, 360, 104
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 104 is 2 x 2 x 2 x 13
Highest common occurrences in the given inputs are 23
Multiplying them we get the GCD as 8
Finding GCD of 672, 360, 104 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(672, 360) = 10080
GCD(672, 360) = ( 672 x 360 ) / 10080
GCD(672, 360) = 241920 / 10080
GCD(672, 360) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 104) = 312
GCD(24, 104) = ( 24 x 104 ) / 312
GCD(24, 104) = 2496 / 312
GCD(24, 104) = 8
GCD of 672, 360, 104 is 8
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FAQs on GCD of numbers 672, 360, 104
1. What is the GCD of 672, 360, 104?
GCD of 672, 360, 104 is 8
2. Where do I get the detailed procedure to find GCD of 672, 360, 104?
You can find a detailed procedure to find GCD of 672, 360, 104 on our page.
3. How to find GCD of 672, 360, 104 on a calculator?
You can find the GCD of 672, 360, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.