GCF of 3768/304, 3584/5301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3768/304, 3584/5301 i.e 8/84816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3768/304, 3584/5301.
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 3768/304,3584/5301?
Given fractions are 3768/304,3584/5301
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 3768/304,3584/5301, numerators are 3768,3584
Denominators are 304,5301
The GCF of 3768,3584 is 8 .
LCM of 304,5301 is 84816.
The greatest common factor of 3768/304,3584/5301 = [GCF of 3768,3584]/[LCM of 304,5301]= 8/84816
Therefore, the GCF of 3768/304,3584/5301 is 8/84816.
To find the highest common factor of 3768,3584, we have to find the factors of both numbers and list the highest common factor.
The factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768
The factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584
The HCF of 3768,3584 is 8.
Lets's calculate GCF of 3768,3584
| 2 | 3768, 3584 |
| 2 | 1884, 1792 |
| 2 | 942, 896 |
| 471, 448 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3768,3584 By Matching Biggest Common Factor Method
Now, list down the factors of 3768
:1,2,3,4,6,8,12,24,157,314,471,628,942,1256,1884,3768
Now, list down the factors of 3584
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Greatest Common Factor
We found the factors 3768,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 3768,3584 is 8.
Lets's calculate LCM of 304,5301
| 19 | 304, 5301 |
| 16, 279 |
∴ So the LCM of the given numbers is 19 x 16 x 279 = 84816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/84816
Therefore, the GCF of Fractions 3768/304,3584/5301 is 8/84816
Least Common Multiple of 304,5301 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 304,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5301) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5301) x common factors =19 x 1 = 19
LCM(304,5301) = ( 304 × 5301 ) / 19
LCM(304,5301) = 1611504 / 19
LCM(304,5301) = 84816
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FAQs on GCF of Fractions of 3768/304, 3584/5301
1. What is the HCF of 3768,3584?
The HCF of 3768,3584 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 3768/304, 3584/5301?
Answer: GCF of Numerators as per given numbers 3768/304, 3584/5301 is
GCF of Numerators i.e. for 3768,3584 is 8
LCM of denominators i.e. for 304,5301 is 84816.
Thus, GCF of Fractions is 8/84816.Finally, GCF of Fractions for 3768/304, 3584/5301 is 8/84816.