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, 616, 92, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 616, 92, 387 is 1
GCD(705, 616, 92, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 616, 92, 387 is 1
GCD(705, 616, 92, 387) = 1
Given Input numbers are 705, 616, 92, 387
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 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 705, 616, 92, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 616, 92, 387 is 1.
Therefore, GCD of numbers 705, 616, 92, 387 is 1
Given Input Data is 705, 616, 92, 387
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 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 387 is 3 x 3 x 43
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, 616) = 434280
GCD(705, 616) = ( 705 x 616 ) / 434280
GCD(705, 616) = 434280 / 434280
GCD(705, 616) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 705, 616, 92, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 705, 616, 92, 387?
GCD of 705, 616, 92, 387 is 1
2. Where do I get the detailed procedure to find GCD of 705, 616, 92, 387?
You can find a detailed procedure to find GCD of 705, 616, 92, 387 on our page.
3. How to find GCD of 705, 616, 92, 387 on a calculator?
You can find the GCD of 705, 616, 92, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.