GCF of 7079/257, 5526/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7079/257, 5526/509 i.e 1/130813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7079/257, 5526/509.
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 7079/257,5526/509?
Given fractions are 7079/257,5526/509
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 7079/257,5526/509, numerators are 7079,5526
Denominators are 257,509
The GCF of 7079,5526 is 1 .
LCM of 257,509 is 130813.
The greatest common factor of 7079/257,5526/509 = [GCF of 7079,5526]/[LCM of 257,509]= 1/130813
Therefore, the GCF of 7079/257,5526/509 is 1/130813.
To find the highest common factor of 7079,5526, we have to find the factors of both numbers and list the highest common factor.
The factors of 7079 are 1, 7079
The factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526
The HCF of 7079,5526 is 1.
Lets's calculate GCF of 7079,5526
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7079,5526 By Matching Biggest Common Factor Method
Now, list down the factors of 7079
:1,7079
Now, list down the factors of 5526
:1,2,3,6,9,18,307,614,921,1842,2763,5526
Greatest Common Factor
We found the factors 7079,5526 . The biggest common factor number is the GCF number.
So the greatest common factor 7079,5526 is 1.
Lets's calculate LCM of 257,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 130813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130813
Therefore, the GCF of Fractions 7079/257,5526/509 is 1/130813
Least Common Multiple of 257,509 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 257,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,509) x common factors =1 x 1 = 1
LCM(257,509) = ( 257 × 509 ) / 1
LCM(257,509) = 130813 / 1
LCM(257,509) = 130813
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FAQs on GCF of Fractions of 7079/257, 5526/509
1. What is the HCF of 7079,5526?
The HCF of 7079,5526 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 7079/257, 5526/509?
Answer: GCF of Numerators as per given numbers 7079/257, 5526/509 is
GCF of Numerators i.e. for 7079,5526 is 1
LCM of denominators i.e. for 257,509 is 130813.
Thus, GCF of Fractions is 1/130813.Finally, GCF of Fractions for 7079/257, 5526/509 is 1/130813.