GCF of 3392/305, 4932/3810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3392/305, 4932/3810 i.e 4/232410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3392/305, 4932/3810.
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 3392/305,4932/3810?
Given fractions are 3392/305,4932/3810
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 3392/305,4932/3810, numerators are 3392,4932
Denominators are 305,3810
The GCF of 3392,4932 is 4 .
LCM of 305,3810 is 232410.
The greatest common factor of 3392/305,4932/3810 = [GCF of 3392,4932]/[LCM of 305,3810]= 4/232410
Therefore, the GCF of 3392/305,4932/3810 is 4/232410.
To find the highest common factor of 3392,4932, we have to find the factors of both numbers and list the highest common factor.
The factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392
The factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932
The HCF of 3392,4932 is 4.
Lets's calculate GCF of 3392,4932
| 2 | 3392, 4932 |
| 2 | 1696, 2466 |
| 848, 1233 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3392,4932 By Matching Biggest Common Factor Method
Now, list down the factors of 3392
:1,2,4,8,16,32,53,64,106,212,424,848,1696,3392
Now, list down the factors of 4932
:1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932
Greatest Common Factor
We found the factors 3392,4932 . The biggest common factor number is the GCF number.
So the greatest common factor 3392,4932 is 4.
Lets's calculate LCM of 305,3810
| 5 | 305, 3810 |
| 61, 762 |
∴ So the LCM of the given numbers is 5 x 61 x 762 = 232410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/232410
Therefore, the GCF of Fractions 3392/305,4932/3810 is 4/232410
Least Common Multiple of 305,3810 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 305,3810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,3810) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,3810) x common factors =5 x 1 = 5
LCM(305,3810) = ( 305 × 3810 ) / 5
LCM(305,3810) = 1162050 / 5
LCM(305,3810) = 232410
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FAQs on GCF of Fractions of 3392/305, 4932/3810
1. What is the HCF of 3392,4932?
The HCF of 3392,4932 is 4
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 3392/305, 4932/3810?
Answer: GCF of Numerators as per given numbers 3392/305, 4932/3810 is
GCF of Numerators i.e. for 3392,4932 is 4
LCM of denominators i.e. for 305,3810 is 232410.
Thus, GCF of Fractions is 4/232410.Finally, GCF of Fractions for 3392/305, 4932/3810 is 4/232410.