GCD of 103, 378, 49 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 103, 378, 49 quickly. Get the easiest ways to solve the greatest common divisor of 103, 378, 49 i.e 1 in different methods as follows.
Given Input numbers are 103, 378, 49
In the factoring method, we have to find the divisors of all numbers
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
GCD of numbers is the greatest common divisor
So, the GCD (103, 378, 49) = 1.
Given numbers are 103, 378, 49
The list of prime factors of all numbers are
Prime factors of 103 are 103
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 49 are 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 103, 378, 49 using LCM Formula
Given numbers are 103, 378, 49
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(103, 378) = 38934
GCD(103, 378) = ( 103 x 378 ) / 38934
= 103 / 378
= 103
Step2:
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
= 1 / 49
= 1
So, Greatest Common Divisor of 103, 378, 49 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 103, 378, 49
Given numbers are 103, 378, 49
The greatest common divisor of numbers 103, 378, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 378, 49 is 1.
FAQs on GCD of 103, 378, 49 Calculator
1. What is the GCD of 103, 378, 49?
GCD of given numbers 103, 378, 49 is 1
2. How to calculate the greatest common divisor of 103, 378, 49?
We can find the highest common divisor of 103, 378, 49 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 103, 378, 49 i.e 1.
3. How can I use the GCD of 103, 378, 49Calculator?
Out the numbers 103, 378, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.