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 175, 947, 988, 535 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 947, 988, 535 is 1
GCD(175, 947, 988, 535) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 947, 988, 535 is 1
GCD(175, 947, 988, 535) = 1
Given Input numbers are 175, 947, 988, 535
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
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
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Greatest Common Divisior
We found the divisors of 175, 947, 988, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 947, 988, 535 is 1.
Therefore, GCD of numbers 175, 947, 988, 535 is 1
Given Input Data is 175, 947, 988, 535
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 947 is 947
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 535 is 5 x 107
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(175, 947) = 165725
GCD(175, 947) = ( 175 x 947 ) / 165725
GCD(175, 947) = 165725 / 165725
GCD(175, 947) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
GCD of 175, 947, 988, 535 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 947, 988, 535?
GCD of 175, 947, 988, 535 is 1
2. Where do I get the detailed procedure to find GCD of 175, 947, 988, 535?
You can find a detailed procedure to find GCD of 175, 947, 988, 535 on our page.
3. How to find GCD of 175, 947, 988, 535 on a calculator?
You can find the GCD of 175, 947, 988, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.