GCF of 8614/631, 7548/4941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8614/631, 7548/4941 i.e 2/3117771 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8614/631, 7548/4941.
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 8614/631,7548/4941?
Given fractions are 8614/631,7548/4941
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 8614/631,7548/4941, numerators are 8614,7548
Denominators are 631,4941
The GCF of 8614,7548 is 2 .
LCM of 631,4941 is 3117771.
The greatest common factor of 8614/631,7548/4941 = [GCF of 8614,7548]/[LCM of 631,4941]= 2/3117771
Therefore, the GCF of 8614/631,7548/4941 is 2/3117771.
To find the highest common factor of 8614,7548, we have to find the factors of both numbers and list the highest common factor.
The factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The HCF of 8614,7548 is 2.
Lets's calculate GCF of 8614,7548
| 2 | 8614, 7548 |
| 4307, 3774 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8614,7548 By Matching Biggest Common Factor Method
Now, list down the factors of 8614
:1,2,59,73,118,146,4307,8614
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Greatest Common Factor
We found the factors 8614,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 8614,7548 is 2.
Lets's calculate LCM of 631,4941
Given numbers has no common factors except 1. So, there LCM is their product i.e 3117771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3117771
Therefore, the GCF of Fractions 8614/631,7548/4941 is 2/3117771
Least Common Multiple of 631,4941 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 631,4941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,4941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,4941) x common factors =1 x 1 = 1
LCM(631,4941) = ( 631 × 4941 ) / 1
LCM(631,4941) = 3117771 / 1
LCM(631,4941) = 3117771
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FAQs on GCF of Fractions of 8614/631, 7548/4941
1. What is the HCF of 8614,7548?
The HCF of 8614,7548 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 8614/631, 7548/4941?
Answer: GCF of Numerators as per given numbers 8614/631, 7548/4941 is
GCF of Numerators i.e. for 8614,7548 is 2
LCM of denominators i.e. for 631,4941 is 3117771.
Thus, GCF of Fractions is 2/3117771.Finally, GCF of Fractions for 8614/631, 7548/4941 is 2/3117771.