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 705, 991, 142, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 991, 142, 695 is 1
GCD(705, 991, 142, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 991, 142, 695 is 1
GCD(705, 991, 142, 695) = 1
Given Input numbers are 705, 991, 142, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
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 705, 991, 142, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 991, 142, 695 is 1.
Therefore, GCD of numbers 705, 991, 142, 695 is 1
Given Input Data is 705, 991, 142, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 991 is 991
Prime Factorization of 142 is 2 x 71
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(705, 991) = 698655
GCD(705, 991) = ( 705 x 991 ) / 698655
GCD(705, 991) = 698655 / 698655
GCD(705, 991) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 705, 991, 142, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 991, 142, 695?
GCD of 705, 991, 142, 695 is 1
2. Where do I get the detailed procedure to find GCD of 705, 991, 142, 695?
You can find a detailed procedure to find GCD of 705, 991, 142, 695 on our page.
3. How to find GCD of 705, 991, 142, 695 on a calculator?
You can find the GCD of 705, 991, 142, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.