GCF of 244/48, 728/3354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 244/48, 728/3354 i.e 4/26832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 244/48, 728/3354.
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 244/48,728/3354?
Given fractions are 244/48,728/3354
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 244/48,728/3354, numerators are 244,728
Denominators are 48,3354
The GCF of 244,728 is 4 .
LCM of 48,3354 is 26832.
The greatest common factor of 244/48,728/3354 = [GCF of 244,728]/[LCM of 48,3354]= 4/26832
Therefore, the GCF of 244/48,728/3354 is 4/26832.
To find the highest common factor of 244,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 244 are 1, 2, 4, 61, 122, 244
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 244,728 is 4.
Lets's calculate GCF of 244,728
| 2 | 244, 728 |
| 2 | 122, 364 |
| 61, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 244,728 By Matching Biggest Common Factor Method
Now, list down the factors of 244
:1,2,4,61,122,244
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 244,728 . The biggest common factor number is the GCF number.
So the greatest common factor 244,728 is 4.
Lets's calculate LCM of 48,3354
| 2 | 48, 3354 |
| 3 | 24, 1677 |
| 8, 559 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 559 = 26832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26832
Therefore, the GCF of Fractions 244/48,728/3354 is 4/26832
Least Common Multiple of 48,3354 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 48,3354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,3354) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(48,3354) x common factors =6 x 1 = 6
LCM(48,3354) = ( 48 × 3354 ) / 6
LCM(48,3354) = 160992 / 6
LCM(48,3354) = 26832
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FAQs on GCF of Fractions of 244/48, 728/3354
1. What is the HCF of 244,728?
The HCF of 244,728 is 4
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 244/48, 728/3354?
Answer: GCF of Numerators as per given numbers 244/48, 728/3354 is
GCF of Numerators i.e. for 244,728 is 4
LCM of denominators i.e. for 48,3354 is 26832.
Thus, GCF of Fractions is 4/26832.Finally, GCF of Fractions for 244/48, 728/3354 is 4/26832.