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 758, 202, 12, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 202, 12, 695 is 1
GCD(758, 202, 12, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 202, 12, 695 is 1
GCD(758, 202, 12, 695) = 1
Given Input numbers are 758, 202, 12, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 758, 202, 12, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 202, 12, 695 is 1.
Therefore, GCD of numbers 758, 202, 12, 695 is 1
Given Input Data is 758, 202, 12, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 202 is 2 x 101
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 695 is 5 x 139
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(758, 202) = 76558
GCD(758, 202) = ( 758 x 202 ) / 76558
GCD(758, 202) = 153116 / 76558
GCD(758, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 695) = 1390
GCD(2, 695) = ( 2 x 695 ) / 1390
GCD(2, 695) = 1390 / 1390
GCD(2, 695) = 1
GCD of 758, 202, 12, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 202, 12, 695?
GCD of 758, 202, 12, 695 is 1
2. Where do I get the detailed procedure to find GCD of 758, 202, 12, 695?
You can find a detailed procedure to find GCD of 758, 202, 12, 695 on our page.
3. How to find GCD of 758, 202, 12, 695 on a calculator?
You can find the GCD of 758, 202, 12, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.