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 56, 560, 840, 986 i.e. 2 largest integer that divides all the numbers equally.
GCD of 56, 560, 840, 986 is 2
GCD(56, 560, 840, 986) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 56, 560, 840, 986 is 2
GCD(56, 560, 840, 986) = 2
Given Input numbers are 56, 560, 840, 986
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Greatest Common Divisior
We found the divisors of 56, 560, 840, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 560, 840, 986 is 2.
Therefore, GCD of numbers 56, 560, 840, 986 is 2
Given Input Data is 56, 560, 840, 986
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 986 is 2 x 17 x 29
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(56, 560) = 560
GCD(56, 560) = ( 56 x 560 ) / 560
GCD(56, 560) = 31360 / 560
GCD(56, 560) = 56
Step2:
Here we consider the GCD from the above i.e. 56 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(56, 840) = 840
GCD(56, 840) = ( 56 x 840 ) / 840
GCD(56, 840) = 47040 / 840
GCD(56, 840) = 56
Step3:
Here we consider the GCD from the above i.e. 56 as first number and the next as 986
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(56, 986) = 27608
GCD(56, 986) = ( 56 x 986 ) / 27608
GCD(56, 986) = 55216 / 27608
GCD(56, 986) = 2
GCD of 56, 560, 840, 986 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 56, 560, 840, 986?
GCD of 56, 560, 840, 986 is 2
2. Where do I get the detailed procedure to find GCD of 56, 560, 840, 986?
You can find a detailed procedure to find GCD of 56, 560, 840, 986 on our page.
3. How to find GCD of 56, 560, 840, 986 on a calculator?
You can find the GCD of 56, 560, 840, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.