GCF of 5482/259, 4259/8323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5482/259, 4259/8323 i.e 1/307951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/259, 4259/8323.
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 5482/259,4259/8323?
Given fractions are 5482/259,4259/8323
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 5482/259,4259/8323, numerators are 5482,4259
Denominators are 259,8323
The GCF of 5482,4259 is 1 .
LCM of 259,8323 is 307951.
The greatest common factor of 5482/259,4259/8323 = [GCF of 5482,4259]/[LCM of 259,8323]= 1/307951
Therefore, the GCF of 5482/259,4259/8323 is 1/307951.
To find the highest common factor of 5482,4259, we have to find the factors of both numbers and list the highest common factor.
The factors of 5482 are 1, 2, 2741, 5482
The factors of 4259 are 1, 4259
The HCF of 5482,4259 is 1.
Lets's calculate GCF of 5482,4259
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5482,4259 By Matching Biggest Common Factor Method
Now, list down the factors of 5482
:1,2,2741,5482
Now, list down the factors of 4259
:1,4259
Greatest Common Factor
We found the factors 5482,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,4259 is 1.
Lets's calculate LCM of 259,8323
| 7 | 259, 8323 |
| 37, 1189 |
∴ So the LCM of the given numbers is 7 x 37 x 1189 = 307951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307951
Therefore, the GCF of Fractions 5482/259,4259/8323 is 1/307951
Least Common Multiple of 259,8323 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 259,8323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,8323) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(259,8323) x common factors =7 x 1 = 7
LCM(259,8323) = ( 259 × 8323 ) / 7
LCM(259,8323) = 2155657 / 7
LCM(259,8323) = 307951
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FAQs on GCF of Fractions of 5482/259, 4259/8323
1. What is the HCF of 5482,4259?
The HCF of 5482,4259 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 5482/259, 4259/8323?
Answer: GCF of Numerators as per given numbers 5482/259, 4259/8323 is
GCF of Numerators i.e. for 5482,4259 is 1
LCM of denominators i.e. for 259,8323 is 307951.
Thus, GCF of Fractions is 1/307951.Finally, GCF of Fractions for 5482/259, 4259/8323 is 1/307951.