GCF of 5109/201, 7584/8820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5109/201, 7584/8820 i.e 3/590940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5109/201, 7584/8820.
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 5109/201,7584/8820?
Given fractions are 5109/201,7584/8820
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 5109/201,7584/8820, numerators are 5109,7584
Denominators are 201,8820
The GCF of 5109,7584 is 3 .
LCM of 201,8820 is 590940.
The greatest common factor of 5109/201,7584/8820 = [GCF of 5109,7584]/[LCM of 201,8820]= 3/590940
Therefore, the GCF of 5109/201,7584/8820 is 3/590940.
To find the highest common factor of 5109,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 5109,7584 is 3.
Lets's calculate GCF of 5109,7584
| 3 | 5109, 7584 |
| 1703, 2528 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5109,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 5109
:1,3,13,39,131,393,1703,5109
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 5109,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 5109,7584 is 3.
Lets's calculate LCM of 201,8820
| 3 | 201, 8820 |
| 67, 2940 |
∴ So the LCM of the given numbers is 3 x 67 x 2940 = 590940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/590940
Therefore, the GCF of Fractions 5109/201,7584/8820 is 3/590940
Least Common Multiple of 201,8820 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 201,8820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,8820) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,8820) x common factors =3 x 1 = 3
LCM(201,8820) = ( 201 × 8820 ) / 3
LCM(201,8820) = 1772820 / 3
LCM(201,8820) = 590940
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5109/201, 7584/8820
1. What is the HCF of 5109,7584?
The HCF of 5109,7584 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 5109/201, 7584/8820?
Answer: GCF of Numerators as per given numbers 5109/201, 7584/8820 is
GCF of Numerators i.e. for 5109,7584 is 3
LCM of denominators i.e. for 201,8820 is 590940.
Thus, GCF of Fractions is 3/590940.Finally, GCF of Fractions for 5109/201, 7584/8820 is 3/590940.