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, 535, 679, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 535, 679, 312 is 1
GCD(149, 535, 679, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 535, 679, 312 is 1
GCD(149, 535, 679, 312) = 1
Given Input numbers are 149, 535, 679, 312
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 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 149, 535, 679, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 535, 679, 312 is 1.
Therefore, GCD of numbers 149, 535, 679, 312 is 1
Given Input Data is 149, 535, 679, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 535 is 5 x 107
Prime Factorization of 679 is 7 x 97
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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, 535) = 79715
GCD(149, 535) = ( 149 x 535 ) / 79715
GCD(149, 535) = 79715 / 79715
GCD(149, 535) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 149, 535, 679, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 535, 679, 312?
GCD of 149, 535, 679, 312 is 1
2. Where do I get the detailed procedure to find GCD of 149, 535, 679, 312?
You can find a detailed procedure to find GCD of 149, 535, 679, 312 on our page.
3. How to find GCD of 149, 535, 679, 312 on a calculator?
You can find the GCD of 149, 535, 679, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.