GCF of 3855/436, 7704/914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3855/436, 7704/914 i.e 3/199252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3855/436, 7704/914.
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 3855/436,7704/914?
Given fractions are 3855/436,7704/914
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 3855/436,7704/914, numerators are 3855,7704
Denominators are 436,914
The GCF of 3855,7704 is 3 .
LCM of 436,914 is 199252.
The greatest common factor of 3855/436,7704/914 = [GCF of 3855,7704]/[LCM of 436,914]= 3/199252
Therefore, the GCF of 3855/436,7704/914 is 3/199252.
To find the highest common factor of 3855,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 3855 are 1, 3, 5, 15, 257, 771, 1285, 3855
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 3855,7704 is 3.
Lets's calculate GCF of 3855,7704
| 3 | 3855, 7704 |
| 1285, 2568 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3855,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 3855
:1,3,5,15,257,771,1285,3855
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 3855,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 3855,7704 is 3.
Lets's calculate LCM of 436,914
| 2 | 436, 914 |
| 218, 457 |
∴ So the LCM of the given numbers is 2 x 218 x 457 = 199252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/199252
Therefore, the GCF of Fractions 3855/436,7704/914 is 3/199252
Least Common Multiple of 436,914 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 436,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(436,914) x common factors =2 x 1 = 2
LCM(436,914) = ( 436 × 914 ) / 2
LCM(436,914) = 398504 / 2
LCM(436,914) = 199252
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FAQs on GCF of Fractions of 3855/436, 7704/914
1. What is the HCF of 3855,7704?
The HCF of 3855,7704 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 3855/436, 7704/914?
Answer: GCF of Numerators as per given numbers 3855/436, 7704/914 is
GCF of Numerators i.e. for 3855,7704 is 3
LCM of denominators i.e. for 436,914 is 199252.
Thus, GCF of Fractions is 3/199252.Finally, GCF of Fractions for 3855/436, 7704/914 is 3/199252.