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, 169, 86, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 175, 169, 86, 771 is 1
GCD(175, 169, 86, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 175, 169, 86, 771 is 1
GCD(175, 169, 86, 771) = 1
Given Input numbers are 175, 169, 86, 771
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 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 175, 169, 86, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 169, 86, 771 is 1.
Therefore, GCD of numbers 175, 169, 86, 771 is 1
Given Input Data is 175, 169, 86, 771
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 169 is 13 x 13
Prime Factorization of 86 is 2 x 43
Prime Factorization of 771 is 3 x 257
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, 169) = 29575
GCD(175, 169) = ( 175 x 169 ) / 29575
GCD(175, 169) = 29575 / 29575
GCD(175, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 175, 169, 86, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 175, 169, 86, 771?
GCD of 175, 169, 86, 771 is 1
2. Where do I get the detailed procedure to find GCD of 175, 169, 86, 771?
You can find a detailed procedure to find GCD of 175, 169, 86, 771 on our page.
3. How to find GCD of 175, 169, 86, 771 on a calculator?
You can find the GCD of 175, 169, 86, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.