GCF of 48/497, 64/490, 272/347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/497, 64/490, 272/347 i.e 16/12072130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/497, 64/490, 272/347.
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 48/497,64/490,272/347?
Given fractions are 48/497,64/490,272/347
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 48/497,64/490,272/347, numerators are 48,64,272
Denominators are 497,490,347
The GCF of 48,64,272 is 16 .
LCM of 497,490,347 is 12072130.
The greatest common factor of 48/497,64/490,272/347 = [GCF of 48,64,272]/[LCM of 497,490,347]= 16/12072130
Therefore, the GCF of 48/497,64/490,272/347 is 16/12072130.
To find the highest common factor of 48,64,272, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
The HCF of 48,64,272 is 16.
Lets's calculate GCF of 48,64,272
| 2 | 48, 64, 272 |
| 2 | 24, 32, 136 |
| 2 | 12, 16, 68 |
| 2 | 6, 8, 34 |
| 3, 4, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 48,64,272 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 272
:1,2,4,8,16,17,34,68,136,272
Greatest Common Factor
We found the factors 48,64,272 . The biggest common factor number is the GCF number.
So the greatest common factor 48,64,272 is 16.
Lets's calculate LCM of 497,490,347
| 7 | 497, 490, 347 |
| 71, 70, 347 |
∴ So the LCM of the given numbers is 7 x 71 x 70 x 347 = 12072130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/12072130
Therefore, the GCF of Fractions 48/497,64/490,272/347 is 16/12072130
Least Common Multiple of 497,490,347 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 497,490,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,490,347) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(497,490,347) x common factors =1 x 7 = 7
LCM(497,490,347) = ( 497 × 490 × 347 ) / 7
LCM(497,490,347) = 84504910 / 7
LCM(497,490,347) = 12072130
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FAQs on GCF of Fractions of 48/497, 64/490, 272/347
1. What is the HCF of 48,64,272?
The HCF of 48,64,272 is 16
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 48/497, 64/490, 272/347?
Answer: GCF of Numerators as per given numbers 48/497, 64/490, 272/347 is
GCF of Numerators i.e. for 48,64,272 is 16
LCM of denominators i.e. for 497,490,347 is 12072130.
Thus, GCF of Fractions is 16/12072130.Finally, GCF of Fractions for 48/497, 64/490, 272/347 is 16/12072130.