GCF of 5124/377, 9135/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5124/377, 9135/348 i.e 21/4524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5124/377, 9135/348.
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 5124/377,9135/348?
Given fractions are 5124/377,9135/348
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 5124/377,9135/348, numerators are 5124,9135
Denominators are 377,348
The GCF of 5124,9135 is 21 .
LCM of 377,348 is 4524.
The greatest common factor of 5124/377,9135/348 = [GCF of 5124,9135]/[LCM of 377,348]= 21/4524
Therefore, the GCF of 5124/377,9135/348 is 21/4524.
To find the highest common factor of 5124,9135, we have to find the factors of both numbers and list the highest common factor.
The factors of 5124 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 61, 84, 122, 183, 244, 366, 427, 732, 854, 1281, 1708, 2562, 5124
The factors of 9135 are 1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045, 9135
The HCF of 5124,9135 is 21.
Lets's calculate GCF of 5124,9135
| 3 | 5124, 9135 |
| 7 | 1708, 3045 |
| 244, 435 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 5124,9135 By Matching Biggest Common Factor Method
Now, list down the factors of 5124
:1,2,3,4,6,7,12,14,21,28,42,61,84,122,183,244,366,427,732,854,1281,1708,2562,5124
Now, list down the factors of 9135
:1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Greatest Common Factor
We found the factors 5124,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 5124,9135 is 21.
Lets's calculate LCM of 377,348
| 29 | 377, 348 |
| 13, 12 |
∴ So the LCM of the given numbers is 29 x 13 x 12 = 4524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/4524
Therefore, the GCF of Fractions 5124/377,9135/348 is 21/4524
Least Common Multiple of 377,348 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 377,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,348) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(377,348) x common factors =29 x 1 = 29
LCM(377,348) = ( 377 × 348 ) / 29
LCM(377,348) = 131196 / 29
LCM(377,348) = 4524
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FAQs on GCF of Fractions of 5124/377, 9135/348
1. What is the HCF of 5124,9135?
The HCF of 5124,9135 is 21
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 5124/377, 9135/348?
Answer: GCF of Numerators as per given numbers 5124/377, 9135/348 is
GCF of Numerators i.e. for 5124,9135 is 21
LCM of denominators i.e. for 377,348 is 4524.
Thus, GCF of Fractions is 21/4524.Finally, GCF of Fractions for 5124/377, 9135/348 is 21/4524.