GCF of 5123/378, 5397/4299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5123/378, 5397/4299 i.e 1/541674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5123/378, 5397/4299.
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 5123/378,5397/4299?
Given fractions are 5123/378,5397/4299
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 5123/378,5397/4299, numerators are 5123,5397
Denominators are 378,4299
The GCF of 5123,5397 is 1 .
LCM of 378,4299 is 541674.
The greatest common factor of 5123/378,5397/4299 = [GCF of 5123,5397]/[LCM of 378,4299]= 1/541674
Therefore, the GCF of 5123/378,5397/4299 is 1/541674.
To find the highest common factor of 5123,5397, we have to find the factors of both numbers and list the highest common factor.
The factors of 5123 are 1, 47, 109, 5123
The factors of 5397 are 1, 3, 7, 21, 257, 771, 1799, 5397
The HCF of 5123,5397 is 1.
Lets's calculate GCF of 5123,5397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5123,5397 By Matching Biggest Common Factor Method
Now, list down the factors of 5123
:1,47,109,5123
Now, list down the factors of 5397
:1,3,7,21,257,771,1799,5397
Greatest Common Factor
We found the factors 5123,5397 . The biggest common factor number is the GCF number.
So the greatest common factor 5123,5397 is 1.
Lets's calculate LCM of 378,4299
| 3 | 378, 4299 |
| 126, 1433 |
∴ So the LCM of the given numbers is 3 x 126 x 1433 = 541674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541674
Therefore, the GCF of Fractions 5123/378,5397/4299 is 1/541674
Least Common Multiple of 378,4299 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 378,4299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,4299) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(378,4299) x common factors =3 x 1 = 3
LCM(378,4299) = ( 378 × 4299 ) / 3
LCM(378,4299) = 1625022 / 3
LCM(378,4299) = 541674
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FAQs on GCF of Fractions of 5123/378, 5397/4299
1. What is the HCF of 5123,5397?
The HCF of 5123,5397 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 5123/378, 5397/4299?
Answer: GCF of Numerators as per given numbers 5123/378, 5397/4299 is
GCF of Numerators i.e. for 5123,5397 is 1
LCM of denominators i.e. for 378,4299 is 541674.
Thus, GCF of Fractions is 1/541674.Finally, GCF of Fractions for 5123/378, 5397/4299 is 1/541674.