GCF of 247/109, 663/372
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 247/109, 663/372 i.e 13/40548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 247/109, 663/372.
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 247/109,663/372?
Given fractions are 247/109,663/372
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 247/109,663/372, numerators are 247,663
Denominators are 109,372
The GCF of 247,663 is 13 .
LCM of 109,372 is 40548.
The greatest common factor of 247/109,663/372 = [GCF of 247,663]/[LCM of 109,372]= 13/40548
Therefore, the GCF of 247/109,663/372 is 13/40548.
To find the highest common factor of 247,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 247 are 1, 13, 19, 247
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 247,663 is 13.
Lets's calculate GCF of 247,663
| 13 | 247, 663 |
| 19, 51 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 247,663 By Matching Biggest Common Factor Method
Now, list down the factors of 247
:1,13,19,247
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 247,663 . The biggest common factor number is the GCF number.
So the greatest common factor 247,663 is 13.
Lets's calculate LCM of 109,372
Given numbers has no common factors except 1. So, there LCM is their product i.e 40548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/40548
Therefore, the GCF of Fractions 247/109,663/372 is 13/40548
Least Common Multiple of 109,372 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 109,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,372) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,372) x common factors =1 x 1 = 1
LCM(109,372) = ( 109 × 372 ) / 1
LCM(109,372) = 40548 / 1
LCM(109,372) = 40548
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FAQs on GCF of Fractions of 247/109, 663/372
1. What is the HCF of 247,663?
The HCF of 247,663 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 247/109, 663/372?
Answer: GCF of Numerators as per given numbers 247/109, 663/372 is
GCF of Numerators i.e. for 247,663 is 13
LCM of denominators i.e. for 109,372 is 40548.
Thus, GCF of Fractions is 13/40548.Finally, GCF of Fractions for 247/109, 663/372 is 13/40548.