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 43, 976, 251, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 976, 251, 154 is 1
GCD(43, 976, 251, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 976, 251, 154 is 1
GCD(43, 976, 251, 154) = 1
Given Input numbers are 43, 976, 251, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 43, 976, 251, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 976, 251, 154 is 1.
Therefore, GCD of numbers 43, 976, 251, 154 is 1
Given Input Data is 43, 976, 251, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 251 is 251
Prime Factorization of 154 is 2 x 7 x 11
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(43, 976) = 41968
GCD(43, 976) = ( 43 x 976 ) / 41968
GCD(43, 976) = 41968 / 41968
GCD(43, 976) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 43, 976, 251, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 976, 251, 154?
GCD of 43, 976, 251, 154 is 1
2. Where do I get the detailed procedure to find GCD of 43, 976, 251, 154?
You can find a detailed procedure to find GCD of 43, 976, 251, 154 on our page.
3. How to find GCD of 43, 976, 251, 154 on a calculator?
You can find the GCD of 43, 976, 251, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.