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, 654, 46, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 654, 46, 365 is 1
GCD(758, 654, 46, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 654, 46, 365 is 1
GCD(758, 654, 46, 365) = 1
Given Input numbers are 758, 654, 46, 365
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 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 758, 654, 46, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 654, 46, 365 is 1.
Therefore, GCD of numbers 758, 654, 46, 365 is 1
Given Input Data is 758, 654, 46, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 46 is 2 x 23
Prime Factorization of 365 is 5 x 73
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, 654) = 247866
GCD(758, 654) = ( 758 x 654 ) / 247866
GCD(758, 654) = 495732 / 247866
GCD(758, 654) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
GCD(2, 46) = 92 / 46
GCD(2, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 365) = 730
GCD(2, 365) = ( 2 x 365 ) / 730
GCD(2, 365) = 730 / 730
GCD(2, 365) = 1
GCD of 758, 654, 46, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 654, 46, 365?
GCD of 758, 654, 46, 365 is 1
2. Where do I get the detailed procedure to find GCD of 758, 654, 46, 365?
You can find a detailed procedure to find GCD of 758, 654, 46, 365 on our page.
3. How to find GCD of 758, 654, 46, 365 on a calculator?
You can find the GCD of 758, 654, 46, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.