GCF of 4538/358, 9159/6734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4538/358, 9159/6734 i.e 1/1205386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4538/358, 9159/6734.
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 4538/358,9159/6734?
Given fractions are 4538/358,9159/6734
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 4538/358,9159/6734, numerators are 4538,9159
Denominators are 358,6734
The GCF of 4538,9159 is 1 .
LCM of 358,6734 is 1205386.
The greatest common factor of 4538/358,9159/6734 = [GCF of 4538,9159]/[LCM of 358,6734]= 1/1205386
Therefore, the GCF of 4538/358,9159/6734 is 1/1205386.
To find the highest common factor of 4538,9159, we have to find the factors of both numbers and list the highest common factor.
The factors of 4538 are 1, 2, 2269, 4538
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The HCF of 4538,9159 is 1.
Lets's calculate GCF of 4538,9159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4538,9159 By Matching Biggest Common Factor Method
Now, list down the factors of 4538
:1,2,2269,4538
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 4538,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 4538,9159 is 1.
Lets's calculate LCM of 358,6734
| 2 | 358, 6734 |
| 179, 3367 |
∴ So the LCM of the given numbers is 2 x 179 x 3367 = 1205386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1205386
Therefore, the GCF of Fractions 4538/358,9159/6734 is 1/1205386
Least Common Multiple of 358,6734 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 358,6734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,6734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,6734) x common factors =2 x 1 = 2
LCM(358,6734) = ( 358 × 6734 ) / 2
LCM(358,6734) = 2410772 / 2
LCM(358,6734) = 1205386
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FAQs on GCF of Fractions of 4538/358, 9159/6734
1. What is the HCF of 4538,9159?
The HCF of 4538,9159 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 4538/358, 9159/6734?
Answer: GCF of Numerators as per given numbers 4538/358, 9159/6734 is
GCF of Numerators i.e. for 4538,9159 is 1
LCM of denominators i.e. for 358,6734 is 1205386.
Thus, GCF of Fractions is 1/1205386.Finally, GCF of Fractions for 4538/358, 9159/6734 is 1/1205386.