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 584, 157, 77, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 157, 77, 984 is 1
GCD(584, 157, 77, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 157, 77, 984 is 1
GCD(584, 157, 77, 984) = 1
Given Input numbers are 584, 157, 77, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 584, 157, 77, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 157, 77, 984 is 1.
Therefore, GCD of numbers 584, 157, 77, 984 is 1
Given Input Data is 584, 157, 77, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 157 is 157
Prime Factorization of 77 is 7 x 11
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(584, 157) = 91688
GCD(584, 157) = ( 584 x 157 ) / 91688
GCD(584, 157) = 91688 / 91688
GCD(584, 157) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 584, 157, 77, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 157, 77, 984?
GCD of 584, 157, 77, 984 is 1
2. Where do I get the detailed procedure to find GCD of 584, 157, 77, 984?
You can find a detailed procedure to find GCD of 584, 157, 77, 984 on our page.
3. How to find GCD of 584, 157, 77, 984 on a calculator?
You can find the GCD of 584, 157, 77, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.