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 75, 563, 151, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 563, 151, 988 is 1
GCD(75, 563, 151, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 563, 151, 988 is 1
GCD(75, 563, 151, 988) = 1
Given Input numbers are 75, 563, 151, 988
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Greatest Common Divisior
We found the divisors of 75, 563, 151, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 563, 151, 988 is 1.
Therefore, GCD of numbers 75, 563, 151, 988 is 1
Given Input Data is 75, 563, 151, 988
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 563 is 563
Prime Factorization of 151 is 151
Prime Factorization of 988 is 2 x 2 x 13 x 19
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(75, 563) = 42225
GCD(75, 563) = ( 75 x 563 ) / 42225
GCD(75, 563) = 42225 / 42225
GCD(75, 563) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
GCD of 75, 563, 151, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 563, 151, 988?
GCD of 75, 563, 151, 988 is 1
2. Where do I get the detailed procedure to find GCD of 75, 563, 151, 988?
You can find a detailed procedure to find GCD of 75, 563, 151, 988 on our page.
3. How to find GCD of 75, 563, 151, 988 on a calculator?
You can find the GCD of 75, 563, 151, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.