GCF of 4431/568, 9024/8117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4431/568, 9024/8117 i.e 3/4610456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4431/568, 9024/8117.
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 4431/568,9024/8117?
Given fractions are 4431/568,9024/8117
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 4431/568,9024/8117, numerators are 4431,9024
Denominators are 568,8117
The GCF of 4431,9024 is 3 .
LCM of 568,8117 is 4610456.
The greatest common factor of 4431/568,9024/8117 = [GCF of 4431,9024]/[LCM of 568,8117]= 3/4610456
Therefore, the GCF of 4431/568,9024/8117 is 3/4610456.
To find the highest common factor of 4431,9024, we have to find the factors of both numbers and list the highest common factor.
The factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The HCF of 4431,9024 is 3.
Lets's calculate GCF of 4431,9024
| 3 | 4431, 9024 |
| 1477, 3008 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4431,9024 By Matching Biggest Common Factor Method
Now, list down the factors of 4431
:1,3,7,21,211,633,1477,4431
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Greatest Common Factor
We found the factors 4431,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 4431,9024 is 3.
Lets's calculate LCM of 568,8117
Given numbers has no common factors except 1. So, there LCM is their product i.e 4610456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4610456
Therefore, the GCF of Fractions 4431/568,9024/8117 is 3/4610456
Least Common Multiple of 568,8117 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 568,8117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,8117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(568,8117) x common factors =1 x 1 = 1
LCM(568,8117) = ( 568 × 8117 ) / 1
LCM(568,8117) = 4610456 / 1
LCM(568,8117) = 4610456
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FAQs on GCF of Fractions of 4431/568, 9024/8117
1. What is the HCF of 4431,9024?
The HCF of 4431,9024 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 4431/568, 9024/8117?
Answer: GCF of Numerators as per given numbers 4431/568, 9024/8117 is
GCF of Numerators i.e. for 4431,9024 is 3
LCM of denominators i.e. for 568,8117 is 4610456.
Thus, GCF of Fractions is 3/4610456.Finally, GCF of Fractions for 4431/568, 9024/8117 is 3/4610456.