GCF of 2364/273, 4752/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2364/273, 4752/282 i.e 12/25662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2364/273, 4752/282.
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 2364/273,4752/282?
Given fractions are 2364/273,4752/282
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 2364/273,4752/282, numerators are 2364,4752
Denominators are 273,282
The GCF of 2364,4752 is 12 .
LCM of 273,282 is 25662.
The greatest common factor of 2364/273,4752/282 = [GCF of 2364,4752]/[LCM of 273,282]= 12/25662
Therefore, the GCF of 2364/273,4752/282 is 12/25662.
To find the highest common factor of 2364,4752, we have to find the factors of both numbers and list the highest common factor.
The factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752
The HCF of 2364,4752 is 12.
Lets's calculate GCF of 2364,4752
| 2 | 2364, 4752 |
| 2 | 1182, 2376 |
| 3 | 591, 1188 |
| 197, 396 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2364,4752 By Matching Biggest Common Factor Method
Now, list down the factors of 2364
:1,2,3,4,6,12,197,394,591,788,1182,2364
Now, list down the factors of 4752
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Greatest Common Factor
We found the factors 2364,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 2364,4752 is 12.
Lets's calculate LCM of 273,282
| 3 | 273, 282 |
| 91, 94 |
∴ So the LCM of the given numbers is 3 x 91 x 94 = 25662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/25662
Therefore, the GCF of Fractions 2364/273,4752/282 is 12/25662
Least Common Multiple of 273,282 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 273,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,282) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,282) x common factors =3 x 1 = 3
LCM(273,282) = ( 273 × 282 ) / 3
LCM(273,282) = 76986 / 3
LCM(273,282) = 25662
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FAQs on GCF of Fractions of 2364/273, 4752/282
1. What is the HCF of 2364,4752?
The HCF of 2364,4752 is 12
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 2364/273, 4752/282?
Answer: GCF of Numerators as per given numbers 2364/273, 4752/282 is
GCF of Numerators i.e. for 2364,4752 is 12
LCM of denominators i.e. for 273,282 is 25662.
Thus, GCF of Fractions is 12/25662.Finally, GCF of Fractions for 2364/273, 4752/282 is 12/25662.