GCF of 3306/968, 4640/3702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3306/968, 4640/3702 i.e 58/1791768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3306/968, 4640/3702.
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 3306/968,4640/3702?
Given fractions are 3306/968,4640/3702
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 3306/968,4640/3702, numerators are 3306,4640
Denominators are 968,3702
The GCF of 3306,4640 is 58 .
LCM of 968,3702 is 1791768.
The greatest common factor of 3306/968,4640/3702 = [GCF of 3306,4640]/[LCM of 968,3702]= 58/1791768
Therefore, the GCF of 3306/968,4640/3702 is 58/1791768.
To find the highest common factor of 3306,4640, we have to find the factors of both numbers and list the highest common factor.
The factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306
The factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640
The HCF of 3306,4640 is 58.
Lets's calculate GCF of 3306,4640
| 2 | 3306, 4640 |
| 29 | 1653, 2320 |
| 57, 80 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 3306,4640 By Matching Biggest Common Factor Method
Now, list down the factors of 3306
:1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306
Now, list down the factors of 4640
:1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Greatest Common Factor
We found the factors 3306,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 3306,4640 is 58.
Lets's calculate LCM of 968,3702
| 2 | 968, 3702 |
| 484, 1851 |
∴ So the LCM of the given numbers is 2 x 484 x 1851 = 1791768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/1791768
Therefore, the GCF of Fractions 3306/968,4640/3702 is 58/1791768
Least Common Multiple of 968,3702 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 968,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,3702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(968,3702) x common factors =2 x 1 = 2
LCM(968,3702) = ( 968 × 3702 ) / 2
LCM(968,3702) = 3583536 / 2
LCM(968,3702) = 1791768
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FAQs on GCF of Fractions of 3306/968, 4640/3702
1. What is the HCF of 3306,4640?
The HCF of 3306,4640 is 58
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 3306/968, 4640/3702?
Answer: GCF of Numerators as per given numbers 3306/968, 4640/3702 is
GCF of Numerators i.e. for 3306,4640 is 58
LCM of denominators i.e. for 968,3702 is 1791768.
Thus, GCF of Fractions is 58/1791768.Finally, GCF of Fractions for 3306/968, 4640/3702 is 58/1791768.