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, 985, 140, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 985, 140, 548 is 1
GCD(175, 985, 140, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 985, 140, 548 is 1
GCD(175, 985, 140, 548) = 1
Given Input numbers are 175, 985, 140, 548
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 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 175, 985, 140, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 985, 140, 548 is 1.
Therefore, GCD of numbers 175, 985, 140, 548 is 1
Given Input Data is 175, 985, 140, 548
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 985 is 5 x 197
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 548 is 2 x 2 x 137
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, 985) = 34475
GCD(175, 985) = ( 175 x 985 ) / 34475
GCD(175, 985) = 172375 / 34475
GCD(175, 985) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 140) = 140
GCD(5, 140) = ( 5 x 140 ) / 140
GCD(5, 140) = 700 / 140
GCD(5, 140) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 548) = 2740
GCD(5, 548) = ( 5 x 548 ) / 2740
GCD(5, 548) = 2740 / 2740
GCD(5, 548) = 1
GCD of 175, 985, 140, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 985, 140, 548?
GCD of 175, 985, 140, 548 is 1
2. Where do I get the detailed procedure to find GCD of 175, 985, 140, 548?
You can find a detailed procedure to find GCD of 175, 985, 140, 548 on our page.
3. How to find GCD of 175, 985, 140, 548 on a calculator?
You can find the GCD of 175, 985, 140, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.