GCF of 8918/216, 5688/5775
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8918/216, 5688/5775 i.e 2/415800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8918/216, 5688/5775.
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 8918/216,5688/5775?
Given fractions are 8918/216,5688/5775
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 8918/216,5688/5775, numerators are 8918,5688
Denominators are 216,5775
The GCF of 8918,5688 is 2 .
LCM of 216,5775 is 415800.
The greatest common factor of 8918/216,5688/5775 = [GCF of 8918,5688]/[LCM of 216,5775]= 2/415800
Therefore, the GCF of 8918/216,5688/5775 is 2/415800.
To find the highest common factor of 8918,5688, we have to find the factors of both numbers and list the highest common factor.
The factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918
The factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688
The HCF of 8918,5688 is 2.
Lets's calculate GCF of 8918,5688
| 2 | 8918, 5688 |
| 4459, 2844 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8918,5688 By Matching Biggest Common Factor Method
Now, list down the factors of 8918
:1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918
Now, list down the factors of 5688
:1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688
Greatest Common Factor
We found the factors 8918,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,5688 is 2.
Lets's calculate LCM of 216,5775
| 3 | 216, 5775 |
| 72, 1925 |
∴ So the LCM of the given numbers is 3 x 72 x 1925 = 415800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/415800
Therefore, the GCF of Fractions 8918/216,5688/5775 is 2/415800
Least Common Multiple of 216,5775 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 216,5775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,5775) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(216,5775) x common factors =3 x 1 = 3
LCM(216,5775) = ( 216 × 5775 ) / 3
LCM(216,5775) = 1247400 / 3
LCM(216,5775) = 415800
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8918/216, 5688/5775
1. What is the HCF of 8918,5688?
The HCF of 8918,5688 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 8918/216, 5688/5775?
Answer: GCF of Numerators as per given numbers 8918/216, 5688/5775 is
GCF of Numerators i.e. for 8918,5688 is 2
LCM of denominators i.e. for 216,5775 is 415800.
Thus, GCF of Fractions is 2/415800.Finally, GCF of Fractions for 8918/216, 5688/5775 is 2/415800.