GCF of 812/478, 928/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 812/478, 928/228 i.e 116/54492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/478, 928/228.
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 812/478,928/228?
Given fractions are 812/478,928/228
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 812/478,928/228, numerators are 812,928
Denominators are 478,228
The GCF of 812,928 is 116 .
LCM of 478,228 is 54492.
The greatest common factor of 812/478,928/228 = [GCF of 812,928]/[LCM of 478,228]= 116/54492
Therefore, the GCF of 812/478,928/228 is 116/54492.
To find the highest common factor of 812,928, we have to find the factors of both numbers and list the highest common factor.
The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
The HCF of 812,928 is 116.
Lets's calculate GCF of 812,928
| 2 | 812, 928 |
| 2 | 406, 464 |
| 29 | 203, 232 |
| 7, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 29 = 116
Greatest Common Factor of 812,928 By Matching Biggest Common Factor Method
Now, list down the factors of 812
:1,2,4,7,14,28,29,58,116,203,406,812
Now, list down the factors of 928
:1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 812,928 . The biggest common factor number is the GCF number.
So the greatest common factor 812,928 is 116.
Lets's calculate LCM of 478,228
| 2 | 478, 228 |
| 239, 114 |
∴ So the LCM of the given numbers is 2 x 239 x 114 = 54492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/54492
Therefore, the GCF of Fractions 812/478,928/228 is 116/54492
Least Common Multiple of 478,228 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 478,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,228) x common factors =2 x 1 = 2
LCM(478,228) = ( 478 × 228 ) / 2
LCM(478,228) = 108984 / 2
LCM(478,228) = 54492
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FAQs on GCF of Fractions of 812/478, 928/228
1. What is the HCF of 812,928?
The HCF of 812,928 is 116
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 812/478, 928/228?
Answer: GCF of Numerators as per given numbers 812/478, 928/228 is
GCF of Numerators i.e. for 812,928 is 116
LCM of denominators i.e. for 478,228 is 54492.
Thus, GCF of Fractions is 116/54492.Finally, GCF of Fractions for 812/478, 928/228 is 116/54492.