GCF of 5576/891, 9712/4938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5576/891, 9712/4938 i.e 8/1466586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5576/891, 9712/4938.
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 5576/891,9712/4938?
Given fractions are 5576/891,9712/4938
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 5576/891,9712/4938, numerators are 5576,9712
Denominators are 891,4938
The GCF of 5576,9712 is 8 .
LCM of 891,4938 is 1466586.
The greatest common factor of 5576/891,9712/4938 = [GCF of 5576,9712]/[LCM of 891,4938]= 8/1466586
Therefore, the GCF of 5576/891,9712/4938 is 8/1466586.
To find the highest common factor of 5576,9712, we have to find the factors of both numbers and list the highest common factor.
The factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The HCF of 5576,9712 is 8.
Lets's calculate GCF of 5576,9712
| 2 | 5576, 9712 |
| 2 | 2788, 4856 |
| 2 | 1394, 2428 |
| 697, 1214 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5576,9712 By Matching Biggest Common Factor Method
Now, list down the factors of 5576
:1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Greatest Common Factor
We found the factors 5576,9712 . The biggest common factor number is the GCF number.
So the greatest common factor 5576,9712 is 8.
Lets's calculate LCM of 891,4938
| 3 | 891, 4938 |
| 297, 1646 |
∴ So the LCM of the given numbers is 3 x 297 x 1646 = 1466586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1466586
Therefore, the GCF of Fractions 5576/891,9712/4938 is 8/1466586
Least Common Multiple of 891,4938 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 891,4938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,4938) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(891,4938) x common factors =3 x 1 = 3
LCM(891,4938) = ( 891 × 4938 ) / 3
LCM(891,4938) = 4399758 / 3
LCM(891,4938) = 1466586
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FAQs on GCF of Fractions of 5576/891, 9712/4938
1. What is the HCF of 5576,9712?
The HCF of 5576,9712 is 8
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 5576/891, 9712/4938?
Answer: GCF of Numerators as per given numbers 5576/891, 9712/4938 is
GCF of Numerators i.e. for 5576,9712 is 8
LCM of denominators i.e. for 891,4938 is 1466586.
Thus, GCF of Fractions is 8/1466586.Finally, GCF of Fractions for 5576/891, 9712/4938 is 8/1466586.