GCF of 4734/305, 3510/3669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4734/305, 3510/3669 i.e 18/1119045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4734/305, 3510/3669.
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 4734/305,3510/3669?
Given fractions are 4734/305,3510/3669
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 4734/305,3510/3669, numerators are 4734,3510
Denominators are 305,3669
The GCF of 4734,3510 is 18 .
LCM of 305,3669 is 1119045.
The greatest common factor of 4734/305,3510/3669 = [GCF of 4734,3510]/[LCM of 305,3669]= 18/1119045
Therefore, the GCF of 4734/305,3510/3669 is 18/1119045.
To find the highest common factor of 4734,3510, we have to find the factors of both numbers and list the highest common factor.
The factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
The HCF of 4734,3510 is 18.
Lets's calculate GCF of 4734,3510
| 2 | 4734, 3510 |
| 3 | 2367, 1755 |
| 3 | 789, 585 |
| 263, 195 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4734,3510 By Matching Biggest Common Factor Method
Now, list down the factors of 4734
:1,2,3,6,9,18,263,526,789,1578,2367,4734
Now, list down the factors of 3510
:1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510
Greatest Common Factor
We found the factors 4734,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 4734,3510 is 18.
Lets's calculate LCM of 305,3669
Given numbers has no common factors except 1. So, there LCM is their product i.e 1119045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1119045
Therefore, the GCF of Fractions 4734/305,3510/3669 is 18/1119045
Least Common Multiple of 305,3669 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 305,3669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,3669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,3669) x common factors =1 x 1 = 1
LCM(305,3669) = ( 305 × 3669 ) / 1
LCM(305,3669) = 1119045 / 1
LCM(305,3669) = 1119045
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FAQs on GCF of Fractions of 4734/305, 3510/3669
1. What is the HCF of 4734,3510?
The HCF of 4734,3510 is 18
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 4734/305, 3510/3669?
Answer: GCF of Numerators as per given numbers 4734/305, 3510/3669 is
GCF of Numerators i.e. for 4734,3510 is 18
LCM of denominators i.e. for 305,3669 is 1119045.
Thus, GCF of Fractions is 18/1119045.Finally, GCF of Fractions for 4734/305, 3510/3669 is 18/1119045.