GCF of 4729/258, 5678/3380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4729/258, 5678/3380 i.e 1/436020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4729/258, 5678/3380.
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 4729/258,5678/3380?
Given fractions are 4729/258,5678/3380
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 4729/258,5678/3380, numerators are 4729,5678
Denominators are 258,3380
The GCF of 4729,5678 is 1 .
LCM of 258,3380 is 436020.
The greatest common factor of 4729/258,5678/3380 = [GCF of 4729,5678]/[LCM of 258,3380]= 1/436020
Therefore, the GCF of 4729/258,5678/3380 is 1/436020.
To find the highest common factor of 4729,5678, we have to find the factors of both numbers and list the highest common factor.
The factors of 4729 are 1, 4729
The factors of 5678 are 1, 2, 17, 34, 167, 334, 2839, 5678
The HCF of 4729,5678 is 1.
Lets's calculate GCF of 4729,5678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4729,5678 By Matching Biggest Common Factor Method
Now, list down the factors of 4729
:1,4729
Now, list down the factors of 5678
:1,2,17,34,167,334,2839,5678
Greatest Common Factor
We found the factors 4729,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,5678 is 1.
Lets's calculate LCM of 258,3380
| 2 | 258, 3380 |
| 129, 1690 |
∴ So the LCM of the given numbers is 2 x 129 x 1690 = 436020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436020
Therefore, the GCF of Fractions 4729/258,5678/3380 is 1/436020
Least Common Multiple of 258,3380 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 258,3380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,3380) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,3380) x common factors =2 x 1 = 2
LCM(258,3380) = ( 258 × 3380 ) / 2
LCM(258,3380) = 872040 / 2
LCM(258,3380) = 436020
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FAQs on GCF of Fractions of 4729/258, 5678/3380
1. What is the HCF of 4729,5678?
The HCF of 4729,5678 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 4729/258, 5678/3380?
Answer: GCF of Numerators as per given numbers 4729/258, 5678/3380 is
GCF of Numerators i.e. for 4729,5678 is 1
LCM of denominators i.e. for 258,3380 is 436020.
Thus, GCF of Fractions is 1/436020.Finally, GCF of Fractions for 4729/258, 5678/3380 is 1/436020.