GCF of 82/519, 846/846, 686/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 82/519, 846/846, 686/188 i.e 2/292716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/519, 846/846, 686/188.
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 82/519,846/846,686/188?
Given fractions are 82/519,846/846,686/188
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 82/519,846/846,686/188, numerators are 82,846,686
Denominators are 519,846,188
The GCF of 82,846,686 is 2 .
LCM of 519,846,188 is 292716.
The greatest common factor of 82/519,846/846,686/188 = [GCF of 82,846,686]/[LCM of 519,846,188]= 2/292716
Therefore, the GCF of 82/519,846/846,686/188 is 2/292716.
To find the highest common factor of 82,846,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 82,846,686 is 2.
Lets's calculate GCF of 82,846,686
| 2 | 82, 846, 686 |
| 41, 423, 343 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 82,846,686 By Matching Biggest Common Factor Method
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 846
:1,2,3,6,9,18,47,94,141,282,423,846
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 82,846,686 . The biggest common factor number is the GCF number.
So the greatest common factor 82,846,686 is 2.
Lets's calculate LCM of 519,846,188
| 2 | 519, 846, 188 |
| 3 | 519, 423, 94 |
| 47 | 173, 141, 94 |
| 173, 3, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 173 x 3 x 2 = 292716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/292716
Therefore, the GCF of Fractions 82/519,846/846,686/188 is 2/292716
Least Common Multiple of 519,846,188 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 519,846,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,846,188) = 1
common factors(in case of two or more numbers have common factors) = 282
GCF(519,846,188) x common factors =1 x 282 = 282
LCM(519,846,188) = ( 519 × 846 × 188 ) / 282
LCM(519,846,188) = 82545912 / 282
LCM(519,846,188) = 292716
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FAQs on GCF of Fractions of 82/519, 846/846, 686/188
1. What is the HCF of 82,846,686?
The HCF of 82,846,686 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 82/519, 846/846, 686/188?
Answer: GCF of Numerators as per given numbers 82/519, 846/846, 686/188 is
GCF of Numerators i.e. for 82,846,686 is 2
LCM of denominators i.e. for 519,846,188 is 292716.
Thus, GCF of Fractions is 2/292716.Finally, GCF of Fractions for 82/519, 846/846, 686/188 is 2/292716.