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 745, 166, 376, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 166, 376, 974 is 1
GCD(745, 166, 376, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 166, 376, 974 is 1
GCD(745, 166, 376, 974) = 1
Given Input numbers are 745, 166, 376, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
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 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 745, 166, 376, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 166, 376, 974 is 1.
Therefore, GCD of numbers 745, 166, 376, 974 is 1
Given Input Data is 745, 166, 376, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 166 is 2 x 83
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 974 is 2 x 487
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(745, 166) = 123670
GCD(745, 166) = ( 745 x 166 ) / 123670
GCD(745, 166) = 123670 / 123670
GCD(745, 166) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 745, 166, 376, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 166, 376, 974?
GCD of 745, 166, 376, 974 is 1
2. Where do I get the detailed procedure to find GCD of 745, 166, 376, 974?
You can find a detailed procedure to find GCD of 745, 166, 376, 974 on our page.
3. How to find GCD of 745, 166, 376, 974 on a calculator?
You can find the GCD of 745, 166, 376, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.