GCF of 7941/814, 5376/3805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7941/814, 5376/3805 i.e 3/3097270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7941/814, 5376/3805.
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 7941/814,5376/3805?
Given fractions are 7941/814,5376/3805
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 7941/814,5376/3805, numerators are 7941,5376
Denominators are 814,3805
The GCF of 7941,5376 is 3 .
LCM of 814,3805 is 3097270.
The greatest common factor of 7941/814,5376/3805 = [GCF of 7941,5376]/[LCM of 814,3805]= 3/3097270
Therefore, the GCF of 7941/814,5376/3805 is 3/3097270.
To find the highest common factor of 7941,5376, we have to find the factors of both numbers and list the highest common factor.
The factors of 7941 are 1, 3, 2647, 7941
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376
The HCF of 7941,5376 is 3.
Lets's calculate GCF of 7941,5376
| 3 | 7941, 5376 |
| 2647, 1792 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7941,5376 By Matching Biggest Common Factor Method
Now, list down the factors of 7941
:1,3,2647,7941
Now, list down the factors of 5376
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376
Greatest Common Factor
We found the factors 7941,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 7941,5376 is 3.
Lets's calculate LCM of 814,3805
Given numbers has no common factors except 1. So, there LCM is their product i.e 3097270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3097270
Therefore, the GCF of Fractions 7941/814,5376/3805 is 3/3097270
Least Common Multiple of 814,3805 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 814,3805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,3805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(814,3805) x common factors =1 x 1 = 1
LCM(814,3805) = ( 814 × 3805 ) / 1
LCM(814,3805) = 3097270 / 1
LCM(814,3805) = 3097270
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FAQs on GCF of Fractions of 7941/814, 5376/3805
1. What is the HCF of 7941,5376?
The HCF of 7941,5376 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 7941/814, 5376/3805?
Answer: GCF of Numerators as per given numbers 7941/814, 5376/3805 is
GCF of Numerators i.e. for 7941,5376 is 3
LCM of denominators i.e. for 814,3805 is 3097270.
Thus, GCF of Fractions is 3/3097270.Finally, GCF of Fractions for 7941/814, 5376/3805 is 3/3097270.