GCF of 5478/968, 3867/7104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5478/968, 3867/7104 i.e 3/859584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5478/968, 3867/7104.
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 5478/968,3867/7104?
Given fractions are 5478/968,3867/7104
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 5478/968,3867/7104, numerators are 5478,3867
Denominators are 968,7104
The GCF of 5478,3867 is 3 .
LCM of 968,7104 is 859584.
The greatest common factor of 5478/968,3867/7104 = [GCF of 5478,3867]/[LCM of 968,7104]= 3/859584
Therefore, the GCF of 5478/968,3867/7104 is 3/859584.
To find the highest common factor of 5478,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 5478,3867 is 3.
Lets's calculate GCF of 5478,3867
| 3 | 5478, 3867 |
| 1826, 1289 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5478,3867 By Matching Biggest Common Factor Method
Now, list down the factors of 5478
:1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 5478,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,3867 is 3.
Lets's calculate LCM of 968,7104
| 2 | 968, 7104 |
| 2 | 484, 3552 |
| 2 | 242, 1776 |
| 121, 888 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 888 = 859584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/859584
Therefore, the GCF of Fractions 5478/968,3867/7104 is 3/859584
Least Common Multiple of 968,7104 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 968,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,7104) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(968,7104) x common factors =8 x 1 = 8
LCM(968,7104) = ( 968 × 7104 ) / 8
LCM(968,7104) = 6876672 / 8
LCM(968,7104) = 859584
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FAQs on GCF of Fractions of 5478/968, 3867/7104
1. What is the HCF of 5478,3867?
The HCF of 5478,3867 is 3
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 5478/968, 3867/7104?
Answer: GCF of Numerators as per given numbers 5478/968, 3867/7104 is
GCF of Numerators i.e. for 5478,3867 is 3
LCM of denominators i.e. for 968,7104 is 859584.
Thus, GCF of Fractions is 3/859584.Finally, GCF of Fractions for 5478/968, 3867/7104 is 3/859584.