GCF of 4301/559, 5049/935
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4301/559, 5049/935 i.e 187/522665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4301/559, 5049/935.
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 4301/559,5049/935?
Given fractions are 4301/559,5049/935
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 4301/559,5049/935, numerators are 4301,5049
Denominators are 559,935
The GCF of 4301,5049 is 187 .
LCM of 559,935 is 522665.
The greatest common factor of 4301/559,5049/935 = [GCF of 4301,5049]/[LCM of 559,935]= 187/522665
Therefore, the GCF of 4301/559,5049/935 is 187/522665.
To find the highest common factor of 4301,5049, we have to find the factors of both numbers and list the highest common factor.
The factors of 4301 are 1, 11, 17, 23, 187, 253, 391, 4301
The factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
The HCF of 4301,5049 is 187.
Lets's calculate GCF of 4301,5049
| 11 | 4301, 5049 |
| 17 | 391, 459 |
| 23, 27 |
∴ So the GCF of the given numbers is 11 x 17 = 187
Greatest Common Factor of 4301,5049 By Matching Biggest Common Factor Method
Now, list down the factors of 4301
:1,11,17,23,187,253,391,4301
Now, list down the factors of 5049
:1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Greatest Common Factor
We found the factors 4301,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 4301,5049 is 187.
Lets's calculate LCM of 559,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 522665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 187/522665
Therefore, the GCF of Fractions 4301/559,5049/935 is 187/522665
Least Common Multiple of 559,935 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 559,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,935) x common factors =1 x 1 = 1
LCM(559,935) = ( 559 × 935 ) / 1
LCM(559,935) = 522665 / 1
LCM(559,935) = 522665
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FAQs on GCF of Fractions of 4301/559, 5049/935
1. What is the HCF of 4301,5049?
The HCF of 4301,5049 is 187
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 4301/559, 5049/935?
Answer: GCF of Numerators as per given numbers 4301/559, 5049/935 is
GCF of Numerators i.e. for 4301,5049 is 187
LCM of denominators i.e. for 559,935 is 522665.
Thus, GCF of Fractions is 187/522665.Finally, GCF of Fractions for 4301/559, 5049/935 is 187/522665.