GCF of 6900/413, 3232/4618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6900/413, 3232/4618 i.e 4/1907234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6900/413, 3232/4618.
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 6900/413,3232/4618?
Given fractions are 6900/413,3232/4618
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 6900/413,3232/4618, numerators are 6900,3232
Denominators are 413,4618
The GCF of 6900,3232 is 4 .
LCM of 413,4618 is 1907234.
The greatest common factor of 6900/413,3232/4618 = [GCF of 6900,3232]/[LCM of 413,4618]= 4/1907234
Therefore, the GCF of 6900/413,3232/4618 is 4/1907234.
To find the highest common factor of 6900,3232, we have to find the factors of both numbers and list the highest common factor.
The factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900
The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232
The HCF of 6900,3232 is 4.
Lets's calculate GCF of 6900,3232
| 2 | 6900, 3232 |
| 2 | 3450, 1616 |
| 1725, 808 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6900,3232 By Matching Biggest Common Factor Method
Now, list down the factors of 6900
:1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Now, list down the factors of 3232
:1,2,4,8,16,32,101,202,404,808,1616,3232
Greatest Common Factor
We found the factors 6900,3232 . The biggest common factor number is the GCF number.
So the greatest common factor 6900,3232 is 4.
Lets's calculate LCM of 413,4618
Given numbers has no common factors except 1. So, there LCM is their product i.e 1907234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1907234
Therefore, the GCF of Fractions 6900/413,3232/4618 is 4/1907234
Least Common Multiple of 413,4618 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 413,4618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,4618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,4618) x common factors =1 x 1 = 1
LCM(413,4618) = ( 413 × 4618 ) / 1
LCM(413,4618) = 1907234 / 1
LCM(413,4618) = 1907234
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FAQs on GCF of Fractions of 6900/413, 3232/4618
1. What is the HCF of 6900,3232?
The HCF of 6900,3232 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 6900/413, 3232/4618?
Answer: GCF of Numerators as per given numbers 6900/413, 3232/4618 is
GCF of Numerators i.e. for 6900,3232 is 4
LCM of denominators i.e. for 413,4618 is 1907234.
Thus, GCF of Fractions is 4/1907234.Finally, GCF of Fractions for 6900/413, 3232/4618 is 4/1907234.