GCF of 6292/241, 4543/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6292/241, 4543/509 i.e 11/122669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6292/241, 4543/509.
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 6292/241,4543/509?
Given fractions are 6292/241,4543/509
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 6292/241,4543/509, numerators are 6292,4543
Denominators are 241,509
The GCF of 6292,4543 is 11 .
LCM of 241,509 is 122669.
The greatest common factor of 6292/241,4543/509 = [GCF of 6292,4543]/[LCM of 241,509]= 11/122669
Therefore, the GCF of 6292/241,4543/509 is 11/122669.
To find the highest common factor of 6292,4543, we have to find the factors of both numbers and list the highest common factor.
The factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292
The factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543
The HCF of 6292,4543 is 11.
Lets's calculate GCF of 6292,4543
| 11 | 6292, 4543 |
| 572, 413 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6292,4543 By Matching Biggest Common Factor Method
Now, list down the factors of 6292
:1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292
Now, list down the factors of 4543
:1,7,11,59,77,413,649,4543
Greatest Common Factor
We found the factors 6292,4543 . The biggest common factor number is the GCF number.
So the greatest common factor 6292,4543 is 11.
Lets's calculate LCM of 241,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 122669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/122669
Therefore, the GCF of Fractions 6292/241,4543/509 is 11/122669
Least Common Multiple of 241,509 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 241,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,509) x common factors =1 x 1 = 1
LCM(241,509) = ( 241 × 509 ) / 1
LCM(241,509) = 122669 / 1
LCM(241,509) = 122669
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FAQs on GCF of Fractions of 6292/241, 4543/509
1. What is the HCF of 6292,4543?
The HCF of 6292,4543 is 11
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 6292/241, 4543/509?
Answer: GCF of Numerators as per given numbers 6292/241, 4543/509 is
GCF of Numerators i.e. for 6292,4543 is 11
LCM of denominators i.e. for 241,509 is 122669.
Thus, GCF of Fractions is 11/122669.Finally, GCF of Fractions for 6292/241, 4543/509 is 11/122669.