GCF of 3741/544, 7044/1288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3741/544, 7044/1288 i.e 3/87584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3741/544, 7044/1288.
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 3741/544,7044/1288?
Given fractions are 3741/544,7044/1288
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 3741/544,7044/1288, numerators are 3741,7044
Denominators are 544,1288
The GCF of 3741,7044 is 3 .
LCM of 544,1288 is 87584.
The greatest common factor of 3741/544,7044/1288 = [GCF of 3741,7044]/[LCM of 544,1288]= 3/87584
Therefore, the GCF of 3741/544,7044/1288 is 3/87584.
To find the highest common factor of 3741,7044, we have to find the factors of both numbers and list the highest common factor.
The factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741
The factors of 7044 are 1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522, 7044
The HCF of 3741,7044 is 3.
Lets's calculate GCF of 3741,7044
| 3 | 3741, 7044 |
| 1247, 2348 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3741,7044 By Matching Biggest Common Factor Method
Now, list down the factors of 3741
:1,3,29,43,87,129,1247,3741
Now, list down the factors of 7044
:1,2,3,4,6,12,587,1174,1761,2348,3522,7044
Greatest Common Factor
We found the factors 3741,7044 . The biggest common factor number is the GCF number.
So the greatest common factor 3741,7044 is 3.
Lets's calculate LCM of 544,1288
| 2 | 544, 1288 |
| 2 | 272, 644 |
| 2 | 136, 322 |
| 68, 161 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 68 x 161 = 87584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87584
Therefore, the GCF of Fractions 3741/544,7044/1288 is 3/87584
Least Common Multiple of 544,1288 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 544,1288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,1288) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(544,1288) x common factors =8 x 1 = 8
LCM(544,1288) = ( 544 × 1288 ) / 8
LCM(544,1288) = 700672 / 8
LCM(544,1288) = 87584
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FAQs on GCF of Fractions of 3741/544, 7044/1288
1. What is the HCF of 3741,7044?
The HCF of 3741,7044 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 3741/544, 7044/1288?
Answer: GCF of Numerators as per given numbers 3741/544, 7044/1288 is
GCF of Numerators i.e. for 3741,7044 is 3
LCM of denominators i.e. for 544,1288 is 87584.
Thus, GCF of Fractions is 3/87584.Finally, GCF of Fractions for 3741/544, 7044/1288 is 3/87584.