GCF of 5548/254, 7277/2290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5548/254, 7277/2290 i.e 19/290830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5548/254, 7277/2290.
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 5548/254,7277/2290?
Given fractions are 5548/254,7277/2290
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 5548/254,7277/2290, numerators are 5548,7277
Denominators are 254,2290
The GCF of 5548,7277 is 19 .
LCM of 254,2290 is 290830.
The greatest common factor of 5548/254,7277/2290 = [GCF of 5548,7277]/[LCM of 254,2290]= 19/290830
Therefore, the GCF of 5548/254,7277/2290 is 19/290830.
To find the highest common factor of 5548,7277, we have to find the factors of both numbers and list the highest common factor.
The factors of 5548 are 1, 2, 4, 19, 38, 73, 76, 146, 292, 1387, 2774, 5548
The factors of 7277 are 1, 19, 383, 7277
The HCF of 5548,7277 is 19.
Lets's calculate GCF of 5548,7277
| 19 | 5548, 7277 |
| 292, 383 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5548,7277 By Matching Biggest Common Factor Method
Now, list down the factors of 5548
:1,2,4,19,38,73,76,146,292,1387,2774,5548
Now, list down the factors of 7277
:1,19,383,7277
Greatest Common Factor
We found the factors 5548,7277 . The biggest common factor number is the GCF number.
So the greatest common factor 5548,7277 is 19.
Lets's calculate LCM of 254,2290
| 2 | 254, 2290 |
| 127, 1145 |
∴ So the LCM of the given numbers is 2 x 127 x 1145 = 290830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/290830
Therefore, the GCF of Fractions 5548/254,7277/2290 is 19/290830
Least Common Multiple of 254,2290 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 254,2290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,2290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(254,2290) x common factors =2 x 1 = 2
LCM(254,2290) = ( 254 × 2290 ) / 2
LCM(254,2290) = 581660 / 2
LCM(254,2290) = 290830
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FAQs on GCF of Fractions of 5548/254, 7277/2290
1. What is the HCF of 5548,7277?
The HCF of 5548,7277 is 19
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 5548/254, 7277/2290?
Answer: GCF of Numerators as per given numbers 5548/254, 7277/2290 is
GCF of Numerators i.e. for 5548,7277 is 19
LCM of denominators i.e. for 254,2290 is 290830.
Thus, GCF of Fractions is 19/290830.Finally, GCF of Fractions for 5548/254, 7277/2290 is 19/290830.