GCD of 312, 149, 47, 139 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 312, 149, 47, 139 quickly. Get the easiest ways to solve the greatest common divisor of 312, 149, 47, 139 i.e 1 in different methods as follows.
Given Input numbers are 312, 149, 47, 139
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 47 :
The positive integer divisors of 47 that completely divides 47 are.
1, 47
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
GCD of numbers is the greatest common divisor
So, the GCD (312, 149, 47, 139) = 1.
Given numbers are 312, 149, 47, 139
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 149 are 149
Prime factors of 47 are 47
Prime factors of 139 are 139
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 312, 149, 47, 139 using LCM Formula
Given numbers are 312, 149, 47, 139
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 149) = 46488
GCD(312, 149) = ( 312 x 149 ) / 46488
= 312 / 149
= 312
Step2:
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
= 1 / 47
= 1
Step3:
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
= 1 / 139
= 1
So, Greatest Common Divisor of 312, 149, 47, 139 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 312, 149, 47, 139
Given numbers are 312, 149, 47, 139
The greatest common divisor of numbers 312, 149, 47, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 149, 47, 139 is 1.
FAQs on GCD of 312, 149, 47, 139 Calculator
1. What is the GCD of 312, 149, 47, 139?
GCD of given numbers 312, 149, 47, 139 is 1
2. How to calculate the greatest common divisor of 312, 149, 47, 139?
We can find the highest common divisor of 312, 149, 47, 139 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 312, 149, 47, 139 i.e 1.
3. How can I use the GCD of 312, 149, 47, 139Calculator?
Out the numbers 312, 149, 47, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.