GCF of 4432/766, 5775/9484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4432/766, 5775/9484 i.e 1/3632372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4432/766, 5775/9484.
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 4432/766,5775/9484?
Given fractions are 4432/766,5775/9484
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 4432/766,5775/9484, numerators are 4432,5775
Denominators are 766,9484
The GCF of 4432,5775 is 1 .
LCM of 766,9484 is 3632372.
The greatest common factor of 4432/766,5775/9484 = [GCF of 4432,5775]/[LCM of 766,9484]= 1/3632372
Therefore, the GCF of 4432/766,5775/9484 is 1/3632372.
To find the highest common factor of 4432,5775, we have to find the factors of both numbers and list the highest common factor.
The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432
The factors of 5775 are 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 55, 75, 77, 105, 165, 175, 231, 275, 385, 525, 825, 1155, 1925, 5775
The HCF of 4432,5775 is 1.
Lets's calculate GCF of 4432,5775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4432,5775 By Matching Biggest Common Factor Method
Now, list down the factors of 4432
:1,2,4,8,16,277,554,1108,2216,4432
Now, list down the factors of 5775
:1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 4432,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 4432,5775 is 1.
Lets's calculate LCM of 766,9484
| 2 | 766, 9484 |
| 383, 4742 |
∴ So the LCM of the given numbers is 2 x 383 x 4742 = 3632372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3632372
Therefore, the GCF of Fractions 4432/766,5775/9484 is 1/3632372
Least Common Multiple of 766,9484 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 766,9484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,9484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,9484) x common factors =2 x 1 = 2
LCM(766,9484) = ( 766 × 9484 ) / 2
LCM(766,9484) = 7264744 / 2
LCM(766,9484) = 3632372
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FAQs on GCF of Fractions of 4432/766, 5775/9484
1. What is the HCF of 4432,5775?
The HCF of 4432,5775 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 4432/766, 5775/9484?
Answer: GCF of Numerators as per given numbers 4432/766, 5775/9484 is
GCF of Numerators i.e. for 4432,5775 is 1
LCM of denominators i.e. for 766,9484 is 3632372.
Thus, GCF of Fractions is 1/3632372.Finally, GCF of Fractions for 4432/766, 5775/9484 is 1/3632372.