GCF of 4739/126, 9654/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4739/126, 9654/343 i.e 1/6174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4739/126, 9654/343.
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 4739/126,9654/343?
Given fractions are 4739/126,9654/343
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 4739/126,9654/343, numerators are 4739,9654
Denominators are 126,343
The GCF of 4739,9654 is 1 .
LCM of 126,343 is 6174.
The greatest common factor of 4739/126,9654/343 = [GCF of 4739,9654]/[LCM of 126,343]= 1/6174
Therefore, the GCF of 4739/126,9654/343 is 1/6174.
To find the highest common factor of 4739,9654, 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 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654
The HCF of 4739,9654 is 1.
Lets's calculate GCF of 4739,9654
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4739,9654 By Matching Biggest Common Factor Method
Now, list down the factors of 4739
:1,7,677,4739
Now, list down the factors of 9654
:1,2,3,6,1609,3218,4827,9654
Greatest Common Factor
We found the factors 4739,9654 . The biggest common factor number is the GCF number.
So the greatest common factor 4739,9654 is 1.
Lets's calculate LCM of 126,343
| 7 | 126, 343 |
| 18, 49 |
∴ So the LCM of the given numbers is 7 x 18 x 49 = 6174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6174
Therefore, the GCF of Fractions 4739/126,9654/343 is 1/6174
Least Common Multiple of 126,343 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 126,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,343) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(126,343) x common factors =7 x 1 = 7
LCM(126,343) = ( 126 × 343 ) / 7
LCM(126,343) = 43218 / 7
LCM(126,343) = 6174
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FAQs on GCF of Fractions of 4739/126, 9654/343
1. What is the HCF of 4739,9654?
The HCF of 4739,9654 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 4739/126, 9654/343?
Answer: GCF of Numerators as per given numbers 4739/126, 9654/343 is
GCF of Numerators i.e. for 4739,9654 is 1
LCM of denominators i.e. for 126,343 is 6174.
Thus, GCF of Fractions is 1/6174.Finally, GCF of Fractions for 4739/126, 9654/343 is 1/6174.