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 86, 776, 672, 796 i.e. 2 largest integer that divides all the numbers equally.
GCD of 86, 776, 672, 796 is 2
GCD(86, 776, 672, 796) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 776, 672, 796 is 2
GCD(86, 776, 672, 796) = 2
Given Input numbers are 86, 776, 672, 796
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
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 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Greatest Common Divisior
We found the divisors of 86, 776, 672, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 776, 672, 796 is 2.
Therefore, GCD of numbers 86, 776, 672, 796 is 2
Given Input Data is 86, 776, 672, 796
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 796 is 2 x 2 x 199
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(86, 776) = 33368
GCD(86, 776) = ( 86 x 776 ) / 33368
GCD(86, 776) = 66736 / 33368
GCD(86, 776) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 672
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
GCD(2, 672) = 1344 / 672
GCD(2, 672) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 796) = 796
GCD(2, 796) = ( 2 x 796 ) / 796
GCD(2, 796) = 1592 / 796
GCD(2, 796) = 2
GCD of 86, 776, 672, 796 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 776, 672, 796?
GCD of 86, 776, 672, 796 is 2
2. Where do I get the detailed procedure to find GCD of 86, 776, 672, 796?
You can find a detailed procedure to find GCD of 86, 776, 672, 796 on our page.
3. How to find GCD of 86, 776, 672, 796 on a calculator?
You can find the GCD of 86, 776, 672, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.