GCF of 3934/324, 4662/9854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3934/324, 4662/9854 i.e 14/1596348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3934/324, 4662/9854.
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 3934/324,4662/9854?
Given fractions are 3934/324,4662/9854
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 3934/324,4662/9854, numerators are 3934,4662
Denominators are 324,9854
The GCF of 3934,4662 is 14 .
LCM of 324,9854 is 1596348.
The greatest common factor of 3934/324,4662/9854 = [GCF of 3934,4662]/[LCM of 324,9854]= 14/1596348
Therefore, the GCF of 3934/324,4662/9854 is 14/1596348.
To find the highest common factor of 3934,4662, we have to find the factors of both numbers and list the highest common factor.
The factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934
The factors of 4662 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 63, 74, 111, 126, 222, 259, 333, 518, 666, 777, 1554, 2331, 4662
The HCF of 3934,4662 is 14.
Lets's calculate GCF of 3934,4662
| 2 | 3934, 4662 |
| 7 | 1967, 2331 |
| 281, 333 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3934,4662 By Matching Biggest Common Factor Method
Now, list down the factors of 3934
:1,2,7,14,281,562,1967,3934
Now, list down the factors of 4662
:1,2,3,6,7,9,14,18,21,37,42,63,74,111,126,222,259,333,518,666,777,1554,2331,4662
Greatest Common Factor
We found the factors 3934,4662 . The biggest common factor number is the GCF number.
So the greatest common factor 3934,4662 is 14.
Lets's calculate LCM of 324,9854
| 2 | 324, 9854 |
| 162, 4927 |
∴ So the LCM of the given numbers is 2 x 162 x 4927 = 1596348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1596348
Therefore, the GCF of Fractions 3934/324,4662/9854 is 14/1596348
Least Common Multiple of 324,9854 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 324,9854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,9854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,9854) x common factors =2 x 1 = 2
LCM(324,9854) = ( 324 × 9854 ) / 2
LCM(324,9854) = 3192696 / 2
LCM(324,9854) = 1596348
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FAQs on GCF of Fractions of 3934/324, 4662/9854
1. What is the HCF of 3934,4662?
The HCF of 3934,4662 is 14
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 3934/324, 4662/9854?
Answer: GCF of Numerators as per given numbers 3934/324, 4662/9854 is
GCF of Numerators i.e. for 3934,4662 is 14
LCM of denominators i.e. for 324,9854 is 1596348.
Thus, GCF of Fractions is 14/1596348.Finally, GCF of Fractions for 3934/324, 4662/9854 is 14/1596348.