GCF of 4378/390, 8543/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4378/390, 8543/288 i.e 1/18720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4378/390, 8543/288.
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 4378/390,8543/288?
Given fractions are 4378/390,8543/288
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 4378/390,8543/288, numerators are 4378,8543
Denominators are 390,288
The GCF of 4378,8543 is 1 .
LCM of 390,288 is 18720.
The greatest common factor of 4378/390,8543/288 = [GCF of 4378,8543]/[LCM of 390,288]= 1/18720
Therefore, the GCF of 4378/390,8543/288 is 1/18720.
To find the highest common factor of 4378,8543, we have to find the factors of both numbers and list the highest common factor.
The factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378
The factors of 8543 are 1, 8543
The HCF of 4378,8543 is 1.
Lets's calculate GCF of 4378,8543
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4378,8543 By Matching Biggest Common Factor Method
Now, list down the factors of 4378
:1,2,11,22,199,398,2189,4378
Now, list down the factors of 8543
:1,8543
Greatest Common Factor
We found the factors 4378,8543 . The biggest common factor number is the GCF number.
So the greatest common factor 4378,8543 is 1.
Lets's calculate LCM of 390,288
| 2 | 390, 288 |
| 3 | 195, 144 |
| 65, 48 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 48 = 18720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18720
Therefore, the GCF of Fractions 4378/390,8543/288 is 1/18720
Least Common Multiple of 390,288 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 390,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,288) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,288) x common factors =6 x 1 = 6
LCM(390,288) = ( 390 × 288 ) / 6
LCM(390,288) = 112320 / 6
LCM(390,288) = 18720
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FAQs on GCF of Fractions of 4378/390, 8543/288
1. What is the HCF of 4378,8543?
The HCF of 4378,8543 is 1
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 4378/390, 8543/288?
Answer: GCF of Numerators as per given numbers 4378/390, 8543/288 is
GCF of Numerators i.e. for 4378,8543 is 1
LCM of denominators i.e. for 390,288 is 18720.
Thus, GCF of Fractions is 1/18720.Finally, GCF of Fractions for 4378/390, 8543/288 is 1/18720.