GCF of 6680/460, 9118/9434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6680/460, 9118/9434 i.e 2/2169820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6680/460, 9118/9434.
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 6680/460,9118/9434?
Given fractions are 6680/460,9118/9434
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 6680/460,9118/9434, numerators are 6680,9118
Denominators are 460,9434
The GCF of 6680,9118 is 2 .
LCM of 460,9434 is 2169820.
The greatest common factor of 6680/460,9118/9434 = [GCF of 6680,9118]/[LCM of 460,9434]= 2/2169820
Therefore, the GCF of 6680/460,9118/9434 is 2/2169820.
To find the highest common factor of 6680,9118, we have to find the factors of both numbers and list the highest common factor.
The factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680
The factors of 9118 are 1, 2, 47, 94, 97, 194, 4559, 9118
The HCF of 6680,9118 is 2.
Lets's calculate GCF of 6680,9118
| 2 | 6680, 9118 |
| 3340, 4559 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6680,9118 By Matching Biggest Common Factor Method
Now, list down the factors of 6680
:1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Now, list down the factors of 9118
:1,2,47,94,97,194,4559,9118
Greatest Common Factor
We found the factors 6680,9118 . The biggest common factor number is the GCF number.
So the greatest common factor 6680,9118 is 2.
Lets's calculate LCM of 460,9434
| 2 | 460, 9434 |
| 230, 4717 |
∴ So the LCM of the given numbers is 2 x 230 x 4717 = 2169820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2169820
Therefore, the GCF of Fractions 6680/460,9118/9434 is 2/2169820
Least Common Multiple of 460,9434 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 460,9434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,9434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(460,9434) x common factors =2 x 1 = 2
LCM(460,9434) = ( 460 × 9434 ) / 2
LCM(460,9434) = 4339640 / 2
LCM(460,9434) = 2169820
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FAQs on GCF of Fractions of 6680/460, 9118/9434
1. What is the HCF of 6680,9118?
The HCF of 6680,9118 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 6680/460, 9118/9434?
Answer: GCF of Numerators as per given numbers 6680/460, 9118/9434 is
GCF of Numerators i.e. for 6680,9118 is 2
LCM of denominators i.e. for 460,9434 is 2169820.
Thus, GCF of Fractions is 2/2169820.Finally, GCF of Fractions for 6680/460, 9118/9434 is 2/2169820.