GCF of 8282/948, 7116/4491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8282/948, 7116/4491 i.e 2/1419156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8282/948, 7116/4491.
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 8282/948,7116/4491?
Given fractions are 8282/948,7116/4491
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 8282/948,7116/4491, numerators are 8282,7116
Denominators are 948,4491
The GCF of 8282,7116 is 2 .
LCM of 948,4491 is 1419156.
The greatest common factor of 8282/948,7116/4491 = [GCF of 8282,7116]/[LCM of 948,4491]= 2/1419156
Therefore, the GCF of 8282/948,7116/4491 is 2/1419156.
To find the highest common factor of 8282,7116, we have to find the factors of both numbers and list the highest common factor.
The factors of 8282 are 1, 2, 41, 82, 101, 202, 4141, 8282
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The HCF of 8282,7116 is 2.
Lets's calculate GCF of 8282,7116
| 2 | 8282, 7116 |
| 4141, 3558 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8282,7116 By Matching Biggest Common Factor Method
Now, list down the factors of 8282
:1,2,41,82,101,202,4141,8282
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Greatest Common Factor
We found the factors 8282,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 8282,7116 is 2.
Lets's calculate LCM of 948,4491
| 3 | 948, 4491 |
| 316, 1497 |
∴ So the LCM of the given numbers is 3 x 316 x 1497 = 1419156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1419156
Therefore, the GCF of Fractions 8282/948,7116/4491 is 2/1419156
Least Common Multiple of 948,4491 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 948,4491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,4491) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(948,4491) x common factors =3 x 1 = 3
LCM(948,4491) = ( 948 × 4491 ) / 3
LCM(948,4491) = 4257468 / 3
LCM(948,4491) = 1419156
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FAQs on GCF of Fractions of 8282/948, 7116/4491
1. What is the HCF of 8282,7116?
The HCF of 8282,7116 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 8282/948, 7116/4491?
Answer: GCF of Numerators as per given numbers 8282/948, 7116/4491 is
GCF of Numerators i.e. for 8282,7116 is 2
LCM of denominators i.e. for 948,4491 is 1419156.
Thus, GCF of Fractions is 2/1419156.Finally, GCF of Fractions for 8282/948, 7116/4491 is 2/1419156.