GCF of 5108/228, 8310/2547
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5108/228, 8310/2547 i.e 2/193572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5108/228, 8310/2547.
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 5108/228,8310/2547?
Given fractions are 5108/228,8310/2547
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 5108/228,8310/2547, numerators are 5108,8310
Denominators are 228,2547
The GCF of 5108,8310 is 2 .
LCM of 228,2547 is 193572.
The greatest common factor of 5108/228,8310/2547 = [GCF of 5108,8310]/[LCM of 228,2547]= 2/193572
Therefore, the GCF of 5108/228,8310/2547 is 2/193572.
To find the highest common factor of 5108,8310, we have to find the factors of both numbers and list the highest common factor.
The factors of 5108 are 1, 2, 4, 1277, 2554, 5108
The factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310
The HCF of 5108,8310 is 2.
Lets's calculate GCF of 5108,8310
| 2 | 5108, 8310 |
| 2554, 4155 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5108,8310 By Matching Biggest Common Factor Method
Now, list down the factors of 5108
:1,2,4,1277,2554,5108
Now, list down the factors of 8310
:1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310
Greatest Common Factor
We found the factors 5108,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 5108,8310 is 2.
Lets's calculate LCM of 228,2547
| 3 | 228, 2547 |
| 76, 849 |
∴ So the LCM of the given numbers is 3 x 76 x 849 = 193572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/193572
Therefore, the GCF of Fractions 5108/228,8310/2547 is 2/193572
Least Common Multiple of 228,2547 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 228,2547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,2547) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,2547) x common factors =3 x 1 = 3
LCM(228,2547) = ( 228 × 2547 ) / 3
LCM(228,2547) = 580716 / 3
LCM(228,2547) = 193572
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FAQs on GCF of Fractions of 5108/228, 8310/2547
1. What is the HCF of 5108,8310?
The HCF of 5108,8310 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 5108/228, 8310/2547?
Answer: GCF of Numerators as per given numbers 5108/228, 8310/2547 is
GCF of Numerators i.e. for 5108,8310 is 2
LCM of denominators i.e. for 228,2547 is 193572.
Thus, GCF of Fractions is 2/193572.Finally, GCF of Fractions for 5108/228, 8310/2547 is 2/193572.