GCF of 1115/308, 6688/6281
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1115/308, 6688/6281 i.e 1/175868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1115/308, 6688/6281.
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 1115/308,6688/6281?
Given fractions are 1115/308,6688/6281
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 1115/308,6688/6281, numerators are 1115,6688
Denominators are 308,6281
The GCF of 1115,6688 is 1 .
LCM of 308,6281 is 175868.
The greatest common factor of 1115/308,6688/6281 = [GCF of 1115,6688]/[LCM of 308,6281]= 1/175868
Therefore, the GCF of 1115/308,6688/6281 is 1/175868.
To find the highest common factor of 1115,6688, we have to find the factors of both numbers and list the highest common factor.
The factors of 1115 are 1, 5, 223, 1115
The factors of 6688 are 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 76, 88, 152, 176, 209, 304, 352, 418, 608, 836, 1672, 3344, 6688
The HCF of 1115,6688 is 1.
Lets's calculate GCF of 1115,6688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1115,6688 By Matching Biggest Common Factor Method
Now, list down the factors of 1115
:1,5,223,1115
Now, list down the factors of 6688
:1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688
Greatest Common Factor
We found the factors 1115,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 1115,6688 is 1.
Lets's calculate LCM of 308,6281
| 11 | 308, 6281 |
| 28, 571 |
∴ So the LCM of the given numbers is 11 x 28 x 571 = 175868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175868
Therefore, the GCF of Fractions 1115/308,6688/6281 is 1/175868
Least Common Multiple of 308,6281 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 308,6281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,6281) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(308,6281) x common factors =11 x 1 = 11
LCM(308,6281) = ( 308 × 6281 ) / 11
LCM(308,6281) = 1934548 / 11
LCM(308,6281) = 175868
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FAQs on GCF of Fractions of 1115/308, 6688/6281
1. What is the HCF of 1115,6688?
The HCF of 1115,6688 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 1115/308, 6688/6281?
Answer: GCF of Numerators as per given numbers 1115/308, 6688/6281 is
GCF of Numerators i.e. for 1115,6688 is 1
LCM of denominators i.e. for 308,6281 is 175868.
Thus, GCF of Fractions is 1/175868.Finally, GCF of Fractions for 1115/308, 6688/6281 is 1/175868.