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 80, 840, 991, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 840, 991, 942 is 1
GCD(80, 840, 991, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 840, 991, 942 is 1
GCD(80, 840, 991, 942) = 1
Given Input numbers are 80, 840, 991, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 80, 840, 991, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 840, 991, 942 is 1.
Therefore, GCD of numbers 80, 840, 991, 942 is 1
Given Input Data is 80, 840, 991, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 991 is 991
Prime Factorization of 942 is 2 x 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
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(80, 840) = 1680
GCD(80, 840) = ( 80 x 840 ) / 1680
GCD(80, 840) = 67200 / 1680
GCD(80, 840) = 40
Step2:
Here we consider the GCD from the above i.e. 40 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(40, 991) = 39640
GCD(40, 991) = ( 40 x 991 ) / 39640
GCD(40, 991) = 39640 / 39640
GCD(40, 991) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 80, 840, 991, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 840, 991, 942?
GCD of 80, 840, 991, 942 is 1
2. Where do I get the detailed procedure to find GCD of 80, 840, 991, 942?
You can find a detailed procedure to find GCD of 80, 840, 991, 942 on our page.
3. How to find GCD of 80, 840, 991, 942 on a calculator?
You can find the GCD of 80, 840, 991, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.