GCF of 6148/378, 4036/7355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6148/378, 4036/7355 i.e 4/2780190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6148/378, 4036/7355.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6148/378,4036/7355?
Given fractions are 6148/378,4036/7355
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6148/378,4036/7355, numerators are 6148,4036
Denominators are 378,7355
The GCF of 6148,4036 is 4 .
LCM of 378,7355 is 2780190.
The greatest common factor of 6148/378,4036/7355 = [GCF of 6148,4036]/[LCM of 378,7355]= 4/2780190
Therefore, the GCF of 6148/378,4036/7355 is 4/2780190.
To find the highest common factor of 6148,4036, we have to find the factors of both numbers and list the highest common factor.
The factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148
The factors of 4036 are 1, 2, 4, 1009, 2018, 4036
The HCF of 6148,4036 is 4.
Lets's calculate GCF of 6148,4036
| 2 | 6148, 4036 |
| 2 | 3074, 2018 |
| 1537, 1009 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6148,4036 By Matching Biggest Common Factor Method
Now, list down the factors of 6148
:1,2,4,29,53,58,106,116,212,1537,3074,6148
Now, list down the factors of 4036
:1,2,4,1009,2018,4036
Greatest Common Factor
We found the factors 6148,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 6148,4036 is 4.
Lets's calculate LCM of 378,7355
Given numbers has no common factors except 1. So, there LCM is their product i.e 2780190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2780190
Therefore, the GCF of Fractions 6148/378,4036/7355 is 4/2780190
Least Common Multiple of 378,7355 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 378,7355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,7355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,7355) x common factors =1 x 1 = 1
LCM(378,7355) = ( 378 × 7355 ) / 1
LCM(378,7355) = 2780190 / 1
LCM(378,7355) = 2780190
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6148/378, 4036/7355
1. What is the HCF of 6148,4036?
The HCF of 6148,4036 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6148/378, 4036/7355?
Answer: GCF of Numerators as per given numbers 6148/378, 4036/7355 is
GCF of Numerators i.e. for 6148,4036 is 4
LCM of denominators i.e. for 378,7355 is 2780190.
Thus, GCF of Fractions is 4/2780190.Finally, GCF of Fractions for 6148/378, 4036/7355 is 4/2780190.