GCF of 4578/288, 9773/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4578/288, 9773/822 i.e 1/39456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4578/288, 9773/822.
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 4578/288,9773/822?
Given fractions are 4578/288,9773/822
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 4578/288,9773/822, numerators are 4578,9773
Denominators are 288,822
The GCF of 4578,9773 is 1 .
LCM of 288,822 is 39456.
The greatest common factor of 4578/288,9773/822 = [GCF of 4578,9773]/[LCM of 288,822]= 1/39456
Therefore, the GCF of 4578/288,9773/822 is 1/39456.
To find the highest common factor of 4578,9773, we have to find the factors of both numbers and list the highest common factor.
The factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578
The factors of 9773 are 1, 29, 337, 9773
The HCF of 4578,9773 is 1.
Lets's calculate GCF of 4578,9773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4578,9773 By Matching Biggest Common Factor Method
Now, list down the factors of 4578
:1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578
Now, list down the factors of 9773
:1,29,337,9773
Greatest Common Factor
We found the factors 4578,9773 . The biggest common factor number is the GCF number.
So the greatest common factor 4578,9773 is 1.
Lets's calculate LCM of 288,822
| 2 | 288, 822 |
| 3 | 144, 411 |
| 48, 137 |
∴ So the LCM of the given numbers is 2 x 3 x 48 x 137 = 39456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39456
Therefore, the GCF of Fractions 4578/288,9773/822 is 1/39456
Least Common Multiple of 288,822 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 288,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,822) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(288,822) x common factors =6 x 1 = 6
LCM(288,822) = ( 288 × 822 ) / 6
LCM(288,822) = 236736 / 6
LCM(288,822) = 39456
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FAQs on GCF of Fractions of 4578/288, 9773/822
1. What is the HCF of 4578,9773?
The HCF of 4578,9773 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 4578/288, 9773/822?
Answer: GCF of Numerators as per given numbers 4578/288, 9773/822 is
GCF of Numerators i.e. for 4578,9773 is 1
LCM of denominators i.e. for 288,822 is 39456.
Thus, GCF of Fractions is 1/39456.Finally, GCF of Fractions for 4578/288, 9773/822 is 1/39456.