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 149, 751, 304, 712 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 751, 304, 712 is 1
GCD(149, 751, 304, 712) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 751, 304, 712 is 1
GCD(149, 751, 304, 712) = 1
Given Input numbers are 149, 751, 304, 712
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Greatest Common Divisior
We found the divisors of 149, 751, 304, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 751, 304, 712 is 1.
Therefore, GCD of numbers 149, 751, 304, 712 is 1
Given Input Data is 149, 751, 304, 712
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 751 is 751
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 712 is 2 x 2 x 2 x 89
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(149, 751) = 111899
GCD(149, 751) = ( 149 x 751 ) / 111899
GCD(149, 751) = 111899 / 111899
GCD(149, 751) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
GCD of 149, 751, 304, 712 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 751, 304, 712?
GCD of 149, 751, 304, 712 is 1
2. Where do I get the detailed procedure to find GCD of 149, 751, 304, 712?
You can find a detailed procedure to find GCD of 149, 751, 304, 712 on our page.
3. How to find GCD of 149, 751, 304, 712 on a calculator?
You can find the GCD of 149, 751, 304, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.