GCF of 4481/768, 9262/4638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4481/768, 9262/4638 i.e 1/593664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4481/768, 9262/4638.
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 4481/768,9262/4638?
Given fractions are 4481/768,9262/4638
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 4481/768,9262/4638, numerators are 4481,9262
Denominators are 768,4638
The GCF of 4481,9262 is 1 .
LCM of 768,4638 is 593664.
The greatest common factor of 4481/768,9262/4638 = [GCF of 4481,9262]/[LCM of 768,4638]= 1/593664
Therefore, the GCF of 4481/768,9262/4638 is 1/593664.
To find the highest common factor of 4481,9262, we have to find the factors of both numbers and list the highest common factor.
The factors of 4481 are 1, 4481
The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262
The HCF of 4481,9262 is 1.
Lets's calculate GCF of 4481,9262
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4481,9262 By Matching Biggest Common Factor Method
Now, list down the factors of 4481
:1,4481
Now, list down the factors of 9262
:1,2,11,22,421,842,4631,9262
Greatest Common Factor
We found the factors 4481,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 4481,9262 is 1.
Lets's calculate LCM of 768,4638
| 2 | 768, 4638 |
| 3 | 384, 2319 |
| 128, 773 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 773 = 593664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/593664
Therefore, the GCF of Fractions 4481/768,9262/4638 is 1/593664
Least Common Multiple of 768,4638 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 768,4638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,4638) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,4638) x common factors =6 x 1 = 6
LCM(768,4638) = ( 768 × 4638 ) / 6
LCM(768,4638) = 3561984 / 6
LCM(768,4638) = 593664
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FAQs on GCF of Fractions of 4481/768, 9262/4638
1. What is the HCF of 4481,9262?
The HCF of 4481,9262 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 4481/768, 9262/4638?
Answer: GCF of Numerators as per given numbers 4481/768, 9262/4638 is
GCF of Numerators i.e. for 4481,9262 is 1
LCM of denominators i.e. for 768,4638 is 593664.
Thus, GCF of Fractions is 1/593664.Finally, GCF of Fractions for 4481/768, 9262/4638 is 1/593664.