GCF of 6248/229, 7498/2259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6248/229, 7498/2259 i.e 2/517311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6248/229, 7498/2259.
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 6248/229,7498/2259?
Given fractions are 6248/229,7498/2259
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 6248/229,7498/2259, numerators are 6248,7498
Denominators are 229,2259
The GCF of 6248,7498 is 2 .
LCM of 229,2259 is 517311.
The greatest common factor of 6248/229,7498/2259 = [GCF of 6248,7498]/[LCM of 229,2259]= 2/517311
Therefore, the GCF of 6248/229,7498/2259 is 2/517311.
To find the highest common factor of 6248,7498, we have to find the factors of both numbers and list the highest common factor.
The factors of 6248 are 1, 2, 4, 8, 11, 22, 44, 71, 88, 142, 284, 568, 781, 1562, 3124, 6248
The factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498
The HCF of 6248,7498 is 2.
Lets's calculate GCF of 6248,7498
| 2 | 6248, 7498 |
| 3124, 3749 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6248,7498 By Matching Biggest Common Factor Method
Now, list down the factors of 6248
:1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248
Now, list down the factors of 7498
:1,2,23,46,163,326,3749,7498
Greatest Common Factor
We found the factors 6248,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 6248,7498 is 2.
Lets's calculate LCM of 229,2259
Given numbers has no common factors except 1. So, there LCM is their product i.e 517311
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/517311
Therefore, the GCF of Fractions 6248/229,7498/2259 is 2/517311
Least Common Multiple of 229,2259 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 229,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,2259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,2259) x common factors =1 x 1 = 1
LCM(229,2259) = ( 229 × 2259 ) / 1
LCM(229,2259) = 517311 / 1
LCM(229,2259) = 517311
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FAQs on GCF of Fractions of 6248/229, 7498/2259
1. What is the HCF of 6248,7498?
The HCF of 6248,7498 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 6248/229, 7498/2259?
Answer: GCF of Numerators as per given numbers 6248/229, 7498/2259 is
GCF of Numerators i.e. for 6248,7498 is 2
LCM of denominators i.e. for 229,2259 is 517311.
Thus, GCF of Fractions is 2/517311.Finally, GCF of Fractions for 6248/229, 7498/2259 is 2/517311.