GCF of 5239/108, 6526/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5239/108, 6526/585 i.e 13/7020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5239/108, 6526/585.
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 5239/108,6526/585?
Given fractions are 5239/108,6526/585
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 5239/108,6526/585, numerators are 5239,6526
Denominators are 108,585
The GCF of 5239,6526 is 13 .
LCM of 108,585 is 7020.
The greatest common factor of 5239/108,6526/585 = [GCF of 5239,6526]/[LCM of 108,585]= 13/7020
Therefore, the GCF of 5239/108,6526/585 is 13/7020.
To find the highest common factor of 5239,6526, we have to find the factors of both numbers and list the highest common factor.
The factors of 5239 are 1, 13, 31, 169, 403, 5239
The factors of 6526 are 1, 2, 13, 26, 251, 502, 3263, 6526
The HCF of 5239,6526 is 13.
Lets's calculate GCF of 5239,6526
| 13 | 5239, 6526 |
| 403, 502 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5239,6526 By Matching Biggest Common Factor Method
Now, list down the factors of 5239
:1,13,31,169,403,5239
Now, list down the factors of 6526
:1,2,13,26,251,502,3263,6526
Greatest Common Factor
We found the factors 5239,6526 . The biggest common factor number is the GCF number.
So the greatest common factor 5239,6526 is 13.
Lets's calculate LCM of 108,585
| 3 | 108, 585 |
| 3 | 36, 195 |
| 12, 65 |
∴ So the LCM of the given numbers is 3 x 3 x 12 x 65 = 7020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7020
Therefore, the GCF of Fractions 5239/108,6526/585 is 13/7020
Least Common Multiple of 108,585 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 108,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,585) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(108,585) x common factors =9 x 1 = 9
LCM(108,585) = ( 108 × 585 ) / 9
LCM(108,585) = 63180 / 9
LCM(108,585) = 7020
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FAQs on GCF of Fractions of 5239/108, 6526/585
1. What is the HCF of 5239,6526?
The HCF of 5239,6526 is 13
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 5239/108, 6526/585?
Answer: GCF of Numerators as per given numbers 5239/108, 6526/585 is
GCF of Numerators i.e. for 5239,6526 is 13
LCM of denominators i.e. for 108,585 is 7020.
Thus, GCF of Fractions is 13/7020.Finally, GCF of Fractions for 5239/108, 6526/585 is 13/7020.