GCF of 4526/279, 8248/2498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4526/279, 8248/2498 i.e 2/696942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4526/279, 8248/2498.
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 4526/279,8248/2498?
Given fractions are 4526/279,8248/2498
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 4526/279,8248/2498, numerators are 4526,8248
Denominators are 279,2498
The GCF of 4526,8248 is 2 .
LCM of 279,2498 is 696942.
The greatest common factor of 4526/279,8248/2498 = [GCF of 4526,8248]/[LCM of 279,2498]= 2/696942
Therefore, the GCF of 4526/279,8248/2498 is 2/696942.
To find the highest common factor of 4526,8248, we have to find the factors of both numbers and list the highest common factor.
The factors of 4526 are 1, 2, 31, 62, 73, 146, 2263, 4526
The factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248
The HCF of 4526,8248 is 2.
Lets's calculate GCF of 4526,8248
| 2 | 4526, 8248 |
| 2263, 4124 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4526,8248 By Matching Biggest Common Factor Method
Now, list down the factors of 4526
:1,2,31,62,73,146,2263,4526
Now, list down the factors of 8248
:1,2,4,8,1031,2062,4124,8248
Greatest Common Factor
We found the factors 4526,8248 . The biggest common factor number is the GCF number.
So the greatest common factor 4526,8248 is 2.
Lets's calculate LCM of 279,2498
Given numbers has no common factors except 1. So, there LCM is their product i.e 696942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/696942
Therefore, the GCF of Fractions 4526/279,8248/2498 is 2/696942
Least Common Multiple of 279,2498 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 279,2498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,2498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,2498) x common factors =1 x 1 = 1
LCM(279,2498) = ( 279 × 2498 ) / 1
LCM(279,2498) = 696942 / 1
LCM(279,2498) = 696942
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FAQs on GCF of Fractions of 4526/279, 8248/2498
1. What is the HCF of 4526,8248?
The HCF of 4526,8248 is 2
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 4526/279, 8248/2498?
Answer: GCF of Numerators as per given numbers 4526/279, 8248/2498 is
GCF of Numerators i.e. for 4526,8248 is 2
LCM of denominators i.e. for 279,2498 is 696942.
Thus, GCF of Fractions is 2/696942.Finally, GCF of Fractions for 4526/279, 8248/2498 is 2/696942.