GCF of 8478/786, 4428/6513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8478/786, 4428/6513 i.e 54/1706406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8478/786, 4428/6513.
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 8478/786,4428/6513?
Given fractions are 8478/786,4428/6513
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 8478/786,4428/6513, numerators are 8478,4428
Denominators are 786,6513
The GCF of 8478,4428 is 54 .
LCM of 786,6513 is 1706406.
The greatest common factor of 8478/786,4428/6513 = [GCF of 8478,4428]/[LCM of 786,6513]= 54/1706406
Therefore, the GCF of 8478/786,4428/6513 is 54/1706406.
To find the highest common factor of 8478,4428, we have to find the factors of both numbers and list the highest common factor.
The factors of 8478 are 1, 2, 3, 6, 9, 18, 27, 54, 157, 314, 471, 942, 1413, 2826, 4239, 8478
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The HCF of 8478,4428 is 54.
Lets's calculate GCF of 8478,4428
| 2 | 8478, 4428 |
| 3 | 4239, 2214 |
| 3 | 1413, 738 |
| 3 | 471, 246 |
| 157, 82 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 8478,4428 By Matching Biggest Common Factor Method
Now, list down the factors of 8478
:1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Greatest Common Factor
We found the factors 8478,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 8478,4428 is 54.
Lets's calculate LCM of 786,6513
| 3 | 786, 6513 |
| 262, 2171 |
∴ So the LCM of the given numbers is 3 x 262 x 2171 = 1706406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/1706406
Therefore, the GCF of Fractions 8478/786,4428/6513 is 54/1706406
Least Common Multiple of 786,6513 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 786,6513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,6513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(786,6513) x common factors =3 x 1 = 3
LCM(786,6513) = ( 786 × 6513 ) / 3
LCM(786,6513) = 5119218 / 3
LCM(786,6513) = 1706406
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FAQs on GCF of Fractions of 8478/786, 4428/6513
1. What is the HCF of 8478,4428?
The HCF of 8478,4428 is 54
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 8478/786, 4428/6513?
Answer: GCF of Numerators as per given numbers 8478/786, 4428/6513 is
GCF of Numerators i.e. for 8478,4428 is 54
LCM of denominators i.e. for 786,6513 is 1706406.
Thus, GCF of Fractions is 54/1706406.Finally, GCF of Fractions for 8478/786, 4428/6513 is 54/1706406.