GCF of 4302/574, 8578/7971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4302/574, 8578/7971 i.e 2/4575354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4302/574, 8578/7971.
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 4302/574,8578/7971?
Given fractions are 4302/574,8578/7971
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 4302/574,8578/7971, numerators are 4302,8578
Denominators are 574,7971
The GCF of 4302,8578 is 2 .
LCM of 574,7971 is 4575354.
The greatest common factor of 4302/574,8578/7971 = [GCF of 4302,8578]/[LCM of 574,7971]= 2/4575354
Therefore, the GCF of 4302/574,8578/7971 is 2/4575354.
To find the highest common factor of 4302,8578, we have to find the factors of both numbers and list the highest common factor.
The factors of 4302 are 1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151, 4302
The factors of 8578 are 1, 2, 4289, 8578
The HCF of 4302,8578 is 2.
Lets's calculate GCF of 4302,8578
| 2 | 4302, 8578 |
| 2151, 4289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4302,8578 By Matching Biggest Common Factor Method
Now, list down the factors of 4302
:1,2,3,6,9,18,239,478,717,1434,2151,4302
Now, list down the factors of 8578
:1,2,4289,8578
Greatest Common Factor
We found the factors 4302,8578 . The biggest common factor number is the GCF number.
So the greatest common factor 4302,8578 is 2.
Lets's calculate LCM of 574,7971
Given numbers has no common factors except 1. So, there LCM is their product i.e 4575354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4575354
Therefore, the GCF of Fractions 4302/574,8578/7971 is 2/4575354
Least Common Multiple of 574,7971 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 574,7971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,7971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,7971) x common factors =1 x 1 = 1
LCM(574,7971) = ( 574 × 7971 ) / 1
LCM(574,7971) = 4575354 / 1
LCM(574,7971) = 4575354
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FAQs on GCF of Fractions of 4302/574, 8578/7971
1. What is the HCF of 4302,8578?
The HCF of 4302,8578 is 2
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 4302/574, 8578/7971?
Answer: GCF of Numerators as per given numbers 4302/574, 8578/7971 is
GCF of Numerators i.e. for 4302,8578 is 2
LCM of denominators i.e. for 574,7971 is 4575354.
Thus, GCF of Fractions is 2/4575354.Finally, GCF of Fractions for 4302/574, 8578/7971 is 2/4575354.