GCD of 760, 116, 882 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 760, 116, 882 i.e. 2 largest integer that divides all the numbers equally.
GCD of 760, 116, 882 is 2
GCD(760, 116, 882) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 116, 882 is 2
GCD(760, 116, 882) = 2
GCDof 760,116,882 is 2
Given Input numbers are 760, 116, 882
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 760, 116, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 116, 882 is 2.
Therefore, GCD of numbers 760, 116, 882 is 2
Given Input Data is 760, 116, 882
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 760, 116, 882 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(760, 116) = 22040
GCD(760, 116) = ( 760 x 116 ) / 22040
GCD(760, 116) = 88160 / 22040
GCD(760, 116) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 882) = 1764
GCD(4, 882) = ( 4 x 882 ) / 1764
GCD(4, 882) = 3528 / 1764
GCD(4, 882) = 2
GCD of 760, 116, 882 is 2
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FAQs on GCD of numbers 760, 116, 882
1. What is the GCD of 760, 116, 882?
GCD of 760, 116, 882 is 2
2. Where do I get the detailed procedure to find GCD of 760, 116, 882?
You can find a detailed procedure to find GCD of 760, 116, 882 on our page.
3. How to find GCD of 760, 116, 882 on a calculator?
You can find the GCD of 760, 116, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.