GCF of 6318/330, 4220/6502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6318/330, 4220/6502 i.e 2/1072830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6318/330, 4220/6502.
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 6318/330,4220/6502?
Given fractions are 6318/330,4220/6502
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 6318/330,4220/6502, numerators are 6318,4220
Denominators are 330,6502
The GCF of 6318,4220 is 2 .
LCM of 330,6502 is 1072830.
The greatest common factor of 6318/330,4220/6502 = [GCF of 6318,4220]/[LCM of 330,6502]= 2/1072830
Therefore, the GCF of 6318/330,4220/6502 is 2/1072830.
To find the highest common factor of 6318,4220, we have to find the factors of both numbers and list the highest common factor.
The factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The HCF of 6318,4220 is 2.
Lets's calculate GCF of 6318,4220
| 2 | 6318, 4220 |
| 3159, 2110 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6318,4220 By Matching Biggest Common Factor Method
Now, list down the factors of 6318
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 6318,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 6318,4220 is 2.
Lets's calculate LCM of 330,6502
| 2 | 330, 6502 |
| 165, 3251 |
∴ So the LCM of the given numbers is 2 x 165 x 3251 = 1072830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1072830
Therefore, the GCF of Fractions 6318/330,4220/6502 is 2/1072830
Least Common Multiple of 330,6502 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 330,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,6502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,6502) x common factors =2 x 1 = 2
LCM(330,6502) = ( 330 × 6502 ) / 2
LCM(330,6502) = 2145660 / 2
LCM(330,6502) = 1072830
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6318/330, 4220/6502
1. What is the HCF of 6318,4220?
The HCF of 6318,4220 is 2
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 6318/330, 4220/6502?
Answer: GCF of Numerators as per given numbers 6318/330, 4220/6502 is
GCF of Numerators i.e. for 6318,4220 is 2
LCM of denominators i.e. for 330,6502 is 1072830.
Thus, GCF of Fractions is 2/1072830.Finally, GCF of Fractions for 6318/330, 4220/6502 is 2/1072830.