GCF of 478/910, 7728/934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 478/910, 7728/934 i.e 2/424970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/910, 7728/934.
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 478/910,7728/934?
Given fractions are 478/910,7728/934
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 478/910,7728/934, numerators are 478,7728
Denominators are 910,934
The GCF of 478,7728 is 2 .
LCM of 910,934 is 424970.
The greatest common factor of 478/910,7728/934 = [GCF of 478,7728]/[LCM of 910,934]= 2/424970
Therefore, the GCF of 478/910,7728/934 is 2/424970.
To find the highest common factor of 478,7728, we have to find the factors of both numbers and list the highest common factor.
The factors of 478 are 1, 2, 239, 478
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The HCF of 478,7728 is 2.
Lets's calculate GCF of 478,7728
| 2 | 478, 7728 |
| 239, 3864 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 478,7728 By Matching Biggest Common Factor Method
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Greatest Common Factor
We found the factors 478,7728 . The biggest common factor number is the GCF number.
So the greatest common factor 478,7728 is 2.
Lets's calculate LCM of 910,934
| 2 | 910, 934 |
| 455, 467 |
∴ So the LCM of the given numbers is 2 x 455 x 467 = 424970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/424970
Therefore, the GCF of Fractions 478/910,7728/934 is 2/424970
Least Common Multiple of 910,934 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 910,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,934) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(910,934) x common factors =2 x 1 = 2
LCM(910,934) = ( 910 × 934 ) / 2
LCM(910,934) = 849940 / 2
LCM(910,934) = 424970
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 478/910, 7728/934
1. What is the HCF of 478,7728?
The HCF of 478,7728 is 2
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 478/910, 7728/934?
Answer: GCF of Numerators as per given numbers 478/910, 7728/934 is
GCF of Numerators i.e. for 478,7728 is 2
LCM of denominators i.e. for 910,934 is 424970.
Thus, GCF of Fractions is 2/424970.Finally, GCF of Fractions for 478/910, 7728/934 is 2/424970.