GCF of 5289/129, 6716/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5289/129, 6716/319 i.e 1/41151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5289/129, 6716/319.
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 5289/129,6716/319?
Given fractions are 5289/129,6716/319
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 5289/129,6716/319, numerators are 5289,6716
Denominators are 129,319
The GCF of 5289,6716 is 1 .
LCM of 129,319 is 41151.
The greatest common factor of 5289/129,6716/319 = [GCF of 5289,6716]/[LCM of 129,319]= 1/41151
Therefore, the GCF of 5289/129,6716/319 is 1/41151.
To find the highest common factor of 5289,6716, we have to find the factors of both numbers and list the highest common factor.
The factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289
The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716
The HCF of 5289,6716 is 1.
Lets's calculate GCF of 5289,6716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5289,6716 By Matching Biggest Common Factor Method
Now, list down the factors of 5289
:1,3,41,43,123,129,1763,5289
Now, list down the factors of 6716
:1,2,4,23,46,73,92,146,292,1679,3358,6716
Greatest Common Factor
We found the factors 5289,6716 . The biggest common factor number is the GCF number.
So the greatest common factor 5289,6716 is 1.
Lets's calculate LCM of 129,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 41151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41151
Therefore, the GCF of Fractions 5289/129,6716/319 is 1/41151
Least Common Multiple of 129,319 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 129,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,319) x common factors =1 x 1 = 1
LCM(129,319) = ( 129 × 319 ) / 1
LCM(129,319) = 41151 / 1
LCM(129,319) = 41151
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FAQs on GCF of Fractions of 5289/129, 6716/319
1. What is the HCF of 5289,6716?
The HCF of 5289,6716 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 5289/129, 6716/319?
Answer: GCF of Numerators as per given numbers 5289/129, 6716/319 is
GCF of Numerators i.e. for 5289,6716 is 1
LCM of denominators i.e. for 129,319 is 41151.
Thus, GCF of Fractions is 1/41151.Finally, GCF of Fractions for 5289/129, 6716/319 is 1/41151.