GCF of 9918/564, 1459/9057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9918/564, 1459/9057 i.e 1/1702716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9918/564, 1459/9057.
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 9918/564,1459/9057?
Given fractions are 9918/564,1459/9057
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 9918/564,1459/9057, numerators are 9918,1459
Denominators are 564,9057
The GCF of 9918,1459 is 1 .
LCM of 564,9057 is 1702716.
The greatest common factor of 9918/564,1459/9057 = [GCF of 9918,1459]/[LCM of 564,9057]= 1/1702716
Therefore, the GCF of 9918/564,1459/9057 is 1/1702716.
To find the highest common factor of 9918,1459, we have to find the factors of both numbers and list the highest common factor.
The factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918
The factors of 1459 are 1, 1459
The HCF of 9918,1459 is 1.
Lets's calculate GCF of 9918,1459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9918,1459 By Matching Biggest Common Factor Method
Now, list down the factors of 9918
:1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Now, list down the factors of 1459
:1,1459
Greatest Common Factor
We found the factors 9918,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 9918,1459 is 1.
Lets's calculate LCM of 564,9057
| 3 | 564, 9057 |
| 188, 3019 |
∴ So the LCM of the given numbers is 3 x 188 x 3019 = 1702716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702716
Therefore, the GCF of Fractions 9918/564,1459/9057 is 1/1702716
Least Common Multiple of 564,9057 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 564,9057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,9057) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(564,9057) x common factors =3 x 1 = 3
LCM(564,9057) = ( 564 × 9057 ) / 3
LCM(564,9057) = 5108148 / 3
LCM(564,9057) = 1702716
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FAQs on GCF of Fractions of 9918/564, 1459/9057
1. What is the HCF of 9918,1459?
The HCF of 9918,1459 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 9918/564, 1459/9057?
Answer: GCF of Numerators as per given numbers 9918/564, 1459/9057 is
GCF of Numerators i.e. for 9918,1459 is 1
LCM of denominators i.e. for 564,9057 is 1702716.
Thus, GCF of Fractions is 1/1702716.Finally, GCF of Fractions for 9918/564, 1459/9057 is 1/1702716.