GCF of 7281/516, 9192/8514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7281/516, 9192/8514 i.e 3/17028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7281/516, 9192/8514.
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 7281/516,9192/8514?
Given fractions are 7281/516,9192/8514
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 7281/516,9192/8514, numerators are 7281,9192
Denominators are 516,8514
The GCF of 7281,9192 is 3 .
LCM of 516,8514 is 17028.
The greatest common factor of 7281/516,9192/8514 = [GCF of 7281,9192]/[LCM of 516,8514]= 3/17028
Therefore, the GCF of 7281/516,9192/8514 is 3/17028.
To find the highest common factor of 7281,9192, we have to find the factors of both numbers and list the highest common factor.
The factors of 7281 are 1, 3, 9, 809, 2427, 7281
The factors of 9192 are 1, 2, 3, 4, 6, 8, 12, 24, 383, 766, 1149, 1532, 2298, 3064, 4596, 9192
The HCF of 7281,9192 is 3.
Lets's calculate GCF of 7281,9192
| 3 | 7281, 9192 |
| 2427, 3064 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7281,9192 By Matching Biggest Common Factor Method
Now, list down the factors of 7281
:1,3,9,809,2427,7281
Now, list down the factors of 9192
:1,2,3,4,6,8,12,24,383,766,1149,1532,2298,3064,4596,9192
Greatest Common Factor
We found the factors 7281,9192 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,9192 is 3.
Lets's calculate LCM of 516,8514
| 2 | 516, 8514 |
| 3 | 258, 4257 |
| 43 | 86, 1419 |
| 2, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 2 x 33 = 17028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17028
Therefore, the GCF of Fractions 7281/516,9192/8514 is 3/17028
Least Common Multiple of 516,8514 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 516,8514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,8514) = 258
common factors(in case of two or more numbers have common factors) = 1
GCF(516,8514) x common factors =258 x 1 = 258
LCM(516,8514) = ( 516 × 8514 ) / 258
LCM(516,8514) = 4393224 / 258
LCM(516,8514) = 17028
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FAQs on GCF of Fractions of 7281/516, 9192/8514
1. What is the HCF of 7281,9192?
The HCF of 7281,9192 is 3
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 7281/516, 9192/8514?
Answer: GCF of Numerators as per given numbers 7281/516, 9192/8514 is
GCF of Numerators i.e. for 7281,9192 is 3
LCM of denominators i.e. for 516,8514 is 17028.
Thus, GCF of Fractions is 3/17028.Finally, GCF of Fractions for 7281/516, 9192/8514 is 3/17028.