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 102, 155, 709, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 155, 709, 375 is 1
GCD(102, 155, 709, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 155, 709, 375 is 1
GCD(102, 155, 709, 375) = 1
Given Input numbers are 102, 155, 709, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 102, 155, 709, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 155, 709, 375 is 1.
Therefore, GCD of numbers 102, 155, 709, 375 is 1
Given Input Data is 102, 155, 709, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 155 is 5 x 31
Prime Factorization of 709 is 709
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(102, 155) = 15810
GCD(102, 155) = ( 102 x 155 ) / 15810
GCD(102, 155) = 15810 / 15810
GCD(102, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
GCD(1, 709) = 709 / 709
GCD(1, 709) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 102, 155, 709, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 155, 709, 375?
GCD of 102, 155, 709, 375 is 1
2. Where do I get the detailed procedure to find GCD of 102, 155, 709, 375?
You can find a detailed procedure to find GCD of 102, 155, 709, 375 on our page.
3. How to find GCD of 102, 155, 709, 375 on a calculator?
You can find the GCD of 102, 155, 709, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.