GCF of 7238/132, 9282/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7238/132, 9282/488 i.e 14/16104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7238/132, 9282/488.
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 7238/132,9282/488?
Given fractions are 7238/132,9282/488
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 7238/132,9282/488, numerators are 7238,9282
Denominators are 132,488
The GCF of 7238,9282 is 14 .
LCM of 132,488 is 16104.
The greatest common factor of 7238/132,9282/488 = [GCF of 7238,9282]/[LCM of 132,488]= 14/16104
Therefore, the GCF of 7238/132,9282/488 is 14/16104.
To find the highest common factor of 7238,9282, we have to find the factors of both numbers and list the highest common factor.
The factors of 7238 are 1, 2, 7, 11, 14, 22, 47, 77, 94, 154, 329, 517, 658, 1034, 3619, 7238
The factors of 9282 are 1, 2, 3, 6, 7, 13, 14, 17, 21, 26, 34, 39, 42, 51, 78, 91, 102, 119, 182, 221, 238, 273, 357, 442, 546, 663, 714, 1326, 1547, 3094, 4641, 9282
The HCF of 7238,9282 is 14.
Lets's calculate GCF of 7238,9282
| 2 | 7238, 9282 |
| 7 | 3619, 4641 |
| 517, 663 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7238,9282 By Matching Biggest Common Factor Method
Now, list down the factors of 7238
:1,2,7,11,14,22,47,77,94,154,329,517,658,1034,3619,7238
Now, list down the factors of 9282
:1,2,3,6,7,13,14,17,21,26,34,39,42,51,78,91,102,119,182,221,238,273,357,442,546,663,714,1326,1547,3094,4641,9282
Greatest Common Factor
We found the factors 7238,9282 . The biggest common factor number is the GCF number.
So the greatest common factor 7238,9282 is 14.
Lets's calculate LCM of 132,488
| 2 | 132, 488 |
| 2 | 66, 244 |
| 33, 122 |
∴ So the LCM of the given numbers is 2 x 2 x 33 x 122 = 16104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/16104
Therefore, the GCF of Fractions 7238/132,9282/488 is 14/16104
Least Common Multiple of 132,488 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 132,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,488) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(132,488) x common factors =4 x 1 = 4
LCM(132,488) = ( 132 × 488 ) / 4
LCM(132,488) = 64416 / 4
LCM(132,488) = 16104
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7238/132, 9282/488
1. What is the HCF of 7238,9282?
The HCF of 7238,9282 is 14
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 7238/132, 9282/488?
Answer: GCF of Numerators as per given numbers 7238/132, 9282/488 is
GCF of Numerators i.e. for 7238,9282 is 14
LCM of denominators i.e. for 132,488 is 16104.
Thus, GCF of Fractions is 14/16104.Finally, GCF of Fractions for 7238/132, 9282/488 is 14/16104.