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 746, 376, 54, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 376, 54, 575 is 1
GCD(746, 376, 54, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 376, 54, 575 is 1
GCD(746, 376, 54, 575) = 1
Given Input numbers are 746, 376, 54, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 746, 376, 54, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 376, 54, 575 is 1.
Therefore, GCD of numbers 746, 376, 54, 575 is 1
Given Input Data is 746, 376, 54, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 575 is 5 x 5 x 23
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(746, 376) = 140248
GCD(746, 376) = ( 746 x 376 ) / 140248
GCD(746, 376) = 280496 / 140248
GCD(746, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 575) = 1150
GCD(2, 575) = ( 2 x 575 ) / 1150
GCD(2, 575) = 1150 / 1150
GCD(2, 575) = 1
GCD of 746, 376, 54, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 376, 54, 575?
GCD of 746, 376, 54, 575 is 1
2. Where do I get the detailed procedure to find GCD of 746, 376, 54, 575?
You can find a detailed procedure to find GCD of 746, 376, 54, 575 on our page.
3. How to find GCD of 746, 376, 54, 575 on a calculator?
You can find the GCD of 746, 376, 54, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.