GCD of 856, 648, 660 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 856, 648, 660 i.e. 4 largest integer that divides all the numbers equally.
GCD of 856, 648, 660 is 4
GCD(856, 648, 660) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 648, 660 is 4
GCD(856, 648, 660) = 4
GCDof 856,648,660 is 4
Given Input numbers are 856, 648, 660
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Greatest Common Divisior
We found the divisors of 856, 648, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 648, 660 is 4.
Therefore, GCD of numbers 856, 648, 660 is 4
Given Input Data is 856, 648, 660
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
Finding GCD of 856, 648, 660 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(856, 648) = 69336
GCD(856, 648) = ( 856 x 648 ) / 69336
GCD(856, 648) = 554688 / 69336
GCD(856, 648) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 660
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 660) = 1320
GCD(8, 660) = ( 8 x 660 ) / 1320
GCD(8, 660) = 5280 / 1320
GCD(8, 660) = 4
GCD of 856, 648, 660 is 4
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FAQs on GCD of numbers 856, 648, 660
1. What is the GCD of 856, 648, 660?
GCD of 856, 648, 660 is 4
2. Where do I get the detailed procedure to find GCD of 856, 648, 660?
You can find a detailed procedure to find GCD of 856, 648, 660 on our page.
3. How to find GCD of 856, 648, 660 on a calculator?
You can find the GCD of 856, 648, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.