GCF of 336/44, 288/943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 336/44, 288/943 i.e 48/41492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/44, 288/943.
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 336/44,288/943?
Given fractions are 336/44,288/943
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 336/44,288/943, numerators are 336,288
Denominators are 44,943
The GCF of 336,288 is 48 .
LCM of 44,943 is 41492.
The greatest common factor of 336/44,288/943 = [GCF of 336,288]/[LCM of 44,943]= 48/41492
Therefore, the GCF of 336/44,288/943 is 48/41492.
To find the highest common factor of 336,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 336,288 is 48.
Lets's calculate GCF of 336,288
| 2 | 336, 288 |
| 2 | 168, 144 |
| 2 | 84, 72 |
| 2 | 42, 36 |
| 3 | 21, 18 |
| 7, 6 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 336,288 By Matching Biggest Common Factor Method
Now, list down the factors of 336
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 336,288 . The biggest common factor number is the GCF number.
So the greatest common factor 336,288 is 48.
Lets's calculate LCM of 44,943
Given numbers has no common factors except 1. So, there LCM is their product i.e 41492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/41492
Therefore, the GCF of Fractions 336/44,288/943 is 48/41492
Least Common Multiple of 44,943 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 44,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,943) x common factors =1 x 1 = 1
LCM(44,943) = ( 44 × 943 ) / 1
LCM(44,943) = 41492 / 1
LCM(44,943) = 41492
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FAQs on GCF of Fractions of 336/44, 288/943
1. What is the HCF of 336,288?
The HCF of 336,288 is 48
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 336/44, 288/943?
Answer: GCF of Numerators as per given numbers 336/44, 288/943 is
GCF of Numerators i.e. for 336,288 is 48
LCM of denominators i.e. for 44,943 is 41492.
Thus, GCF of Fractions is 48/41492.Finally, GCF of Fractions for 336/44, 288/943 is 48/41492.