GCF of 4728/559, 1731/1253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4728/559, 1731/1253 i.e 3/700427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4728/559, 1731/1253.
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 4728/559,1731/1253?
Given fractions are 4728/559,1731/1253
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 4728/559,1731/1253, numerators are 4728,1731
Denominators are 559,1253
The GCF of 4728,1731 is 3 .
LCM of 559,1253 is 700427.
The greatest common factor of 4728/559,1731/1253 = [GCF of 4728,1731]/[LCM of 559,1253]= 3/700427
Therefore, the GCF of 4728/559,1731/1253 is 3/700427.
To find the highest common factor of 4728,1731, we have to find the factors of both numbers and list the highest common factor.
The factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728
The factors of 1731 are 1, 3, 577, 1731
The HCF of 4728,1731 is 3.
Lets's calculate GCF of 4728,1731
| 3 | 4728, 1731 |
| 1576, 577 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4728,1731 By Matching Biggest Common Factor Method
Now, list down the factors of 4728
:1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Now, list down the factors of 1731
:1,3,577,1731
Greatest Common Factor
We found the factors 4728,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 4728,1731 is 3.
Lets's calculate LCM of 559,1253
Given numbers has no common factors except 1. So, there LCM is their product i.e 700427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/700427
Therefore, the GCF of Fractions 4728/559,1731/1253 is 3/700427
Least Common Multiple of 559,1253 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 559,1253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,1253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,1253) x common factors =1 x 1 = 1
LCM(559,1253) = ( 559 × 1253 ) / 1
LCM(559,1253) = 700427 / 1
LCM(559,1253) = 700427
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FAQs on GCF of Fractions of 4728/559, 1731/1253
1. What is the HCF of 4728,1731?
The HCF of 4728,1731 is 3
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 4728/559, 1731/1253?
Answer: GCF of Numerators as per given numbers 4728/559, 1731/1253 is
GCF of Numerators i.e. for 4728,1731 is 3
LCM of denominators i.e. for 559,1253 is 700427.
Thus, GCF of Fractions is 3/700427.Finally, GCF of Fractions for 4728/559, 1731/1253 is 3/700427.