GCF of 3656/273, 5944/288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3656/273, 5944/288 i.e 8/26208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3656/273, 5944/288.
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 3656/273,5944/288?
Given fractions are 3656/273,5944/288
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 3656/273,5944/288, numerators are 3656,5944
Denominators are 273,288
The GCF of 3656,5944 is 8 .
LCM of 273,288 is 26208.
The greatest common factor of 3656/273,5944/288 = [GCF of 3656,5944]/[LCM of 273,288]= 8/26208
Therefore, the GCF of 3656/273,5944/288 is 8/26208.
To find the highest common factor of 3656,5944, we have to find the factors of both numbers and list the highest common factor.
The factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656
The factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944
The HCF of 3656,5944 is 8.
Lets's calculate GCF of 3656,5944
| 2 | 3656, 5944 |
| 2 | 1828, 2972 |
| 2 | 914, 1486 |
| 457, 743 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3656,5944 By Matching Biggest Common Factor Method
Now, list down the factors of 3656
:1,2,4,8,457,914,1828,3656
Now, list down the factors of 5944
:1,2,4,8,743,1486,2972,5944
Greatest Common Factor
We found the factors 3656,5944 . The biggest common factor number is the GCF number.
So the greatest common factor 3656,5944 is 8.
Lets's calculate LCM of 273,288
| 3 | 273, 288 |
| 91, 96 |
∴ So the LCM of the given numbers is 3 x 91 x 96 = 26208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/26208
Therefore, the GCF of Fractions 3656/273,5944/288 is 8/26208
Least Common Multiple of 273,288 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 273,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,288) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,288) x common factors =3 x 1 = 3
LCM(273,288) = ( 273 × 288 ) / 3
LCM(273,288) = 78624 / 3
LCM(273,288) = 26208
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FAQs on GCF of Fractions of 3656/273, 5944/288
1. What is the HCF of 3656,5944?
The HCF of 3656,5944 is 8
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 3656/273, 5944/288?
Answer: GCF of Numerators as per given numbers 3656/273, 5944/288 is
GCF of Numerators i.e. for 3656,5944 is 8
LCM of denominators i.e. for 273,288 is 26208.
Thus, GCF of Fractions is 8/26208.Finally, GCF of Fractions for 3656/273, 5944/288 is 8/26208.