GCF of 548/189, 279/393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 548/189, 279/393 i.e 1/24759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/189, 279/393.
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 548/189,279/393?
Given fractions are 548/189,279/393
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 548/189,279/393, numerators are 548,279
Denominators are 189,393
The GCF of 548,279 is 1 .
LCM of 189,393 is 24759.
The greatest common factor of 548/189,279/393 = [GCF of 548,279]/[LCM of 189,393]= 1/24759
Therefore, the GCF of 548/189,279/393 is 1/24759.
To find the highest common factor of 548,279, we have to find the factors of both numbers and list the highest common factor.
The factors of 548 are 1, 2, 4, 137, 274, 548
The factors of 279 are 1, 3, 9, 31, 93, 279
The HCF of 548,279 is 1.
Lets's calculate GCF of 548,279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 548,279 By Matching Biggest Common Factor Method
Now, list down the factors of 548
:1,2,4,137,274,548
Now, list down the factors of 279
:1,3,9,31,93,279
Greatest Common Factor
We found the factors 548,279 . The biggest common factor number is the GCF number.
So the greatest common factor 548,279 is 1.
Lets's calculate LCM of 189,393
| 3 | 189, 393 |
| 63, 131 |
∴ So the LCM of the given numbers is 3 x 63 x 131 = 24759
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24759
Therefore, the GCF of Fractions 548/189,279/393 is 1/24759
Least Common Multiple of 189,393 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 189,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,393) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(189,393) x common factors =3 x 1 = 3
LCM(189,393) = ( 189 × 393 ) / 3
LCM(189,393) = 74277 / 3
LCM(189,393) = 24759
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FAQs on GCF of Fractions of 548/189, 279/393
1. What is the HCF of 548,279?
The HCF of 548,279 is 1
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 548/189, 279/393?
Answer: GCF of Numerators as per given numbers 548/189, 279/393 is
GCF of Numerators i.e. for 548,279 is 1
LCM of denominators i.e. for 189,393 is 24759.
Thus, GCF of Fractions is 1/24759.Finally, GCF of Fractions for 548/189, 279/393 is 1/24759.