GCF of 4587/748, 1191/9568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4587/748, 1191/9568 i.e 3/1789216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4587/748, 1191/9568.
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 4587/748,1191/9568?
Given fractions are 4587/748,1191/9568
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 4587/748,1191/9568, numerators are 4587,1191
Denominators are 748,9568
The GCF of 4587,1191 is 3 .
LCM of 748,9568 is 1789216.
The greatest common factor of 4587/748,1191/9568 = [GCF of 4587,1191]/[LCM of 748,9568]= 3/1789216
Therefore, the GCF of 4587/748,1191/9568 is 3/1789216.
To find the highest common factor of 4587,1191, we have to find the factors of both numbers and list the highest common factor.
The factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587
The factors of 1191 are 1, 3, 397, 1191
The HCF of 4587,1191 is 3.
Lets's calculate GCF of 4587,1191
| 3 | 4587, 1191 |
| 1529, 397 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4587,1191 By Matching Biggest Common Factor Method
Now, list down the factors of 4587
:1,3,11,33,139,417,1529,4587
Now, list down the factors of 1191
:1,3,397,1191
Greatest Common Factor
We found the factors 4587,1191 . The biggest common factor number is the GCF number.
So the greatest common factor 4587,1191 is 3.
Lets's calculate LCM of 748,9568
| 2 | 748, 9568 |
| 2 | 374, 4784 |
| 187, 2392 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 2392 = 1789216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1789216
Therefore, the GCF of Fractions 4587/748,1191/9568 is 3/1789216
Least Common Multiple of 748,9568 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 748,9568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,9568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,9568) x common factors =4 x 1 = 4
LCM(748,9568) = ( 748 × 9568 ) / 4
LCM(748,9568) = 7156864 / 4
LCM(748,9568) = 1789216
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FAQs on GCF of Fractions of 4587/748, 1191/9568
1. What is the HCF of 4587,1191?
The HCF of 4587,1191 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 4587/748, 1191/9568?
Answer: GCF of Numerators as per given numbers 4587/748, 1191/9568 is
GCF of Numerators i.e. for 4587,1191 is 3
LCM of denominators i.e. for 748,9568 is 1789216.
Thus, GCF of Fractions is 3/1789216.Finally, GCF of Fractions for 4587/748, 1191/9568 is 3/1789216.