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 57, 840, 746, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 840, 746, 981 is 1
GCD(57, 840, 746, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 840, 746, 981 is 1
GCD(57, 840, 746, 981) = 1
Given Input numbers are 57, 840, 746, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
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 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 57, 840, 746, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 840, 746, 981 is 1.
Therefore, GCD of numbers 57, 840, 746, 981 is 1
Given Input Data is 57, 840, 746, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 746 is 2 x 373
Prime Factorization of 981 is 3 x 3 x 109
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(57, 840) = 15960
GCD(57, 840) = ( 57 x 840 ) / 15960
GCD(57, 840) = 47880 / 15960
GCD(57, 840) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 746) = 2238
GCD(3, 746) = ( 3 x 746 ) / 2238
GCD(3, 746) = 2238 / 2238
GCD(3, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 57, 840, 746, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 840, 746, 981?
GCD of 57, 840, 746, 981 is 1
2. Where do I get the detailed procedure to find GCD of 57, 840, 746, 981?
You can find a detailed procedure to find GCD of 57, 840, 746, 981 on our page.
3. How to find GCD of 57, 840, 746, 981 on a calculator?
You can find the GCD of 57, 840, 746, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.