GCF of 116/396, 673/850, 246/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 116/396, 673/850, 246/891 i.e 1/1514700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 116/396, 673/850, 246/891.
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 116/396,673/850,246/891?
Given fractions are 116/396,673/850,246/891
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 116/396,673/850,246/891, numerators are 116,673,246
Denominators are 396,850,891
The GCF of 116,673,246 is 1 .
LCM of 396,850,891 is 1514700.
The greatest common factor of 116/396,673/850,246/891 = [GCF of 116,673,246]/[LCM of 396,850,891]= 1/1514700
Therefore, the GCF of 116/396,673/850,246/891 is 1/1514700.
To find the highest common factor of 116,673,246, we have to find the factors of both numbers and list the highest common factor.
The factors of 116 are 1, 2, 4, 29, 58, 116
The factors of 673 are 1, 673
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246
The HCF of 116,673,246 is 1.
Lets's calculate GCF of 116,673,246
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 116,673,246 By Matching Biggest Common Factor Method
Now, list down the factors of 116
:1,2,4,29,58,116
Now, list down the factors of 673
:1,673
Now, list down the factors of 246
:1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 116,673,246 . The biggest common factor number is the GCF number.
So the greatest common factor 116,673,246 is 1.
Lets's calculate LCM of 396,850,891
| 2 | 396, 850, 891 |
| 3 | 198, 425, 891 |
| 3 | 66, 425, 297 |
| 11 | 22, 425, 99 |
| 2, 425, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 2 x 425 x 9 = 1514700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1514700
Therefore, the GCF of Fractions 116/396,673/850,246/891 is 1/1514700
Least Common Multiple of 396,850,891 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 396,850,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,850,891) = 1
common factors(in case of two or more numbers have common factors) = 198
GCF(396,850,891) x common factors =1 x 198 = 198
LCM(396,850,891) = ( 396 × 850 × 891 ) / 198
LCM(396,850,891) = 299910600 / 198
LCM(396,850,891) = 1514700
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FAQs on GCF of Fractions of 116/396, 673/850, 246/891
1. What is the HCF of 116,673,246?
The HCF of 116,673,246 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 116/396, 673/850, 246/891?
Answer: GCF of Numerators as per given numbers 116/396, 673/850, 246/891 is
GCF of Numerators i.e. for 116,673,246 is 1
LCM of denominators i.e. for 396,850,891 is 1514700.
Thus, GCF of Fractions is 1/1514700.Finally, GCF of Fractions for 116/396, 673/850, 246/891 is 1/1514700.