GCF of 4693/474, 7739/2678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4693/474, 7739/2678 i.e 1/634686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4693/474, 7739/2678.
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 4693/474,7739/2678?
Given fractions are 4693/474,7739/2678
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 4693/474,7739/2678, numerators are 4693,7739
Denominators are 474,2678
The GCF of 4693,7739 is 1 .
LCM of 474,2678 is 634686.
The greatest common factor of 4693/474,7739/2678 = [GCF of 4693,7739]/[LCM of 474,2678]= 1/634686
Therefore, the GCF of 4693/474,7739/2678 is 1/634686.
To find the highest common factor of 4693,7739, we have to find the factors of both numbers and list the highest common factor.
The factors of 4693 are 1, 13, 19, 247, 361, 4693
The factors of 7739 are 1, 71, 109, 7739
The HCF of 4693,7739 is 1.
Lets's calculate GCF of 4693,7739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4693,7739 By Matching Biggest Common Factor Method
Now, list down the factors of 4693
:1,13,19,247,361,4693
Now, list down the factors of 7739
:1,71,109,7739
Greatest Common Factor
We found the factors 4693,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 4693,7739 is 1.
Lets's calculate LCM of 474,2678
| 2 | 474, 2678 |
| 237, 1339 |
∴ So the LCM of the given numbers is 2 x 237 x 1339 = 634686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634686
Therefore, the GCF of Fractions 4693/474,7739/2678 is 1/634686
Least Common Multiple of 474,2678 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 474,2678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,2678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,2678) x common factors =2 x 1 = 2
LCM(474,2678) = ( 474 × 2678 ) / 2
LCM(474,2678) = 1269372 / 2
LCM(474,2678) = 634686
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FAQs on GCF of Fractions of 4693/474, 7739/2678
1. What is the HCF of 4693,7739?
The HCF of 4693,7739 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 4693/474, 7739/2678?
Answer: GCF of Numerators as per given numbers 4693/474, 7739/2678 is
GCF of Numerators i.e. for 4693,7739 is 1
LCM of denominators i.e. for 474,2678 is 634686.
Thus, GCF of Fractions is 1/634686.Finally, GCF of Fractions for 4693/474, 7739/2678 is 1/634686.