GCF of 4115/378, 4938/6820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4115/378, 4938/6820 i.e 823/1288980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4115/378, 4938/6820.
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 4115/378,4938/6820?
Given fractions are 4115/378,4938/6820
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 4115/378,4938/6820, numerators are 4115,4938
Denominators are 378,6820
The GCF of 4115,4938 is 823 .
LCM of 378,6820 is 1288980.
The greatest common factor of 4115/378,4938/6820 = [GCF of 4115,4938]/[LCM of 378,6820]= 823/1288980
Therefore, the GCF of 4115/378,4938/6820 is 823/1288980.
To find the highest common factor of 4115,4938, we have to find the factors of both numbers and list the highest common factor.
The factors of 4115 are 1, 5, 823, 4115
The factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938
The HCF of 4115,4938 is 823.
Lets's calculate GCF of 4115,4938
| 823 | 4115, 4938 |
| 5, 6 |
∴ So the GCF of the given numbers is 823 = 823
Greatest Common Factor of 4115,4938 By Matching Biggest Common Factor Method
Now, list down the factors of 4115
:1,5,823,4115
Now, list down the factors of 4938
:1,2,3,6,823,1646,2469,4938
Greatest Common Factor
We found the factors 4115,4938 . The biggest common factor number is the GCF number.
So the greatest common factor 4115,4938 is 823.
Lets's calculate LCM of 378,6820
| 2 | 378, 6820 |
| 189, 3410 |
∴ So the LCM of the given numbers is 2 x 189 x 3410 = 1288980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 823/1288980
Therefore, the GCF of Fractions 4115/378,4938/6820 is 823/1288980
Least Common Multiple of 378,6820 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 378,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,6820) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,6820) x common factors =2 x 1 = 2
LCM(378,6820) = ( 378 × 6820 ) / 2
LCM(378,6820) = 2577960 / 2
LCM(378,6820) = 1288980
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FAQs on GCF of Fractions of 4115/378, 4938/6820
1. What is the HCF of 4115,4938?
The HCF of 4115,4938 is 823
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 4115/378, 4938/6820?
Answer: GCF of Numerators as per given numbers 4115/378, 4938/6820 is
GCF of Numerators i.e. for 4115,4938 is 823
LCM of denominators i.e. for 378,6820 is 1288980.
Thus, GCF of Fractions is 823/1288980.Finally, GCF of Fractions for 4115/378, 4938/6820 is 823/1288980.