GCF of 308/271, 442/678, 513/802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 308/271, 442/678, 513/802 i.e 1/73678938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/271, 442/678, 513/802.
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 308/271,442/678,513/802?
Given fractions are 308/271,442/678,513/802
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 308/271,442/678,513/802, numerators are 308,442,513
Denominators are 271,678,802
The GCF of 308,442,513 is 1 .
LCM of 271,678,802 is 73678938.
The greatest common factor of 308/271,442/678,513/802 = [GCF of 308,442,513]/[LCM of 271,678,802]= 1/73678938
Therefore, the GCF of 308/271,442/678,513/802 is 1/73678938.
To find the highest common factor of 308,442,513, we have to find the factors of both numbers and list the highest common factor.
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The HCF of 308,442,513 is 1.
Lets's calculate GCF of 308,442,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 308,442,513 By Matching Biggest Common Factor Method
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 308,442,513 . The biggest common factor number is the GCF number.
So the greatest common factor 308,442,513 is 1.
Lets's calculate LCM of 271,678,802
| 2 | 271, 678, 802 |
| 271, 339, 401 |
∴ So the LCM of the given numbers is 2 x 271 x 339 x 401 = 73678938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73678938
Therefore, the GCF of Fractions 308/271,442/678,513/802 is 1/73678938
Least Common Multiple of 271,678,802 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 271,678,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,678,802) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(271,678,802) x common factors =1 x 2 = 2
LCM(271,678,802) = ( 271 × 678 × 802 ) / 2
LCM(271,678,802) = 147357876 / 2
LCM(271,678,802) = 73678938
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FAQs on GCF of Fractions of 308/271, 442/678, 513/802
1. What is the HCF of 308,442,513?
The HCF of 308,442,513 is 1
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 308/271, 442/678, 513/802?
Answer: GCF of Numerators as per given numbers 308/271, 442/678, 513/802 is
GCF of Numerators i.e. for 308,442,513 is 1
LCM of denominators i.e. for 271,678,802 is 73678938.
Thus, GCF of Fractions is 1/73678938.Finally, GCF of Fractions for 308/271, 442/678, 513/802 is 1/73678938.