GCF of 4739/352, 2714/3146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4739/352, 2714/3146 i.e 1/50336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4739/352, 2714/3146.
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 4739/352,2714/3146?
Given fractions are 4739/352,2714/3146
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 4739/352,2714/3146, numerators are 4739,2714
Denominators are 352,3146
The GCF of 4739,2714 is 1 .
LCM of 352,3146 is 50336.
The greatest common factor of 4739/352,2714/3146 = [GCF of 4739,2714]/[LCM of 352,3146]= 1/50336
Therefore, the GCF of 4739/352,2714/3146 is 1/50336.
To find the highest common factor of 4739,2714, we have to find the factors of both numbers and list the highest common factor.
The factors of 4739 are 1, 7, 677, 4739
The factors of 2714 are 1, 2, 23, 46, 59, 118, 1357, 2714
The HCF of 4739,2714 is 1.
Lets's calculate GCF of 4739,2714
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4739,2714 By Matching Biggest Common Factor Method
Now, list down the factors of 4739
:1,7,677,4739
Now, list down the factors of 2714
:1,2,23,46,59,118,1357,2714
Greatest Common Factor
We found the factors 4739,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 4739,2714 is 1.
Lets's calculate LCM of 352,3146
| 2 | 352, 3146 |
| 11 | 176, 1573 |
| 16, 143 |
∴ So the LCM of the given numbers is 2 x 11 x 16 x 143 = 50336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50336
Therefore, the GCF of Fractions 4739/352,2714/3146 is 1/50336
Least Common Multiple of 352,3146 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 352,3146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,3146) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(352,3146) x common factors =22 x 1 = 22
LCM(352,3146) = ( 352 × 3146 ) / 22
LCM(352,3146) = 1107392 / 22
LCM(352,3146) = 50336
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FAQs on GCF of Fractions of 4739/352, 2714/3146
1. What is the HCF of 4739,2714?
The HCF of 4739,2714 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 4739/352, 2714/3146?
Answer: GCF of Numerators as per given numbers 4739/352, 2714/3146 is
GCF of Numerators i.e. for 4739,2714 is 1
LCM of denominators i.e. for 352,3146 is 50336.
Thus, GCF of Fractions is 1/50336.Finally, GCF of Fractions for 4739/352, 2714/3146 is 1/50336.