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 775, 465, 54, 708 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 465, 54, 708 is 1
GCD(775, 465, 54, 708) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 465, 54, 708 is 1
GCD(775, 465, 54, 708) = 1
Given Input numbers are 775, 465, 54, 708
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Greatest Common Divisior
We found the divisors of 775, 465, 54, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 465, 54, 708 is 1.
Therefore, GCD of numbers 775, 465, 54, 708 is 1
Given Input Data is 775, 465, 54, 708
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 708 is 2 x 2 x 3 x 59
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(775, 465) = 2325
GCD(775, 465) = ( 775 x 465 ) / 2325
GCD(775, 465) = 360375 / 2325
GCD(775, 465) = 155
Step2:
Here we consider the GCD from the above i.e. 155 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(155, 54) = 8370
GCD(155, 54) = ( 155 x 54 ) / 8370
GCD(155, 54) = 8370 / 8370
GCD(155, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 708
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
GCD(1, 708) = 708 / 708
GCD(1, 708) = 1
GCD of 775, 465, 54, 708 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 465, 54, 708?
GCD of 775, 465, 54, 708 is 1
2. Where do I get the detailed procedure to find GCD of 775, 465, 54, 708?
You can find a detailed procedure to find GCD of 775, 465, 54, 708 on our page.
3. How to find GCD of 775, 465, 54, 708 on a calculator?
You can find the GCD of 775, 465, 54, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.