Use our free GCF of Fractions Calculator tool to compute the GCF of 9440/938, 4809/3370 i.e 1/1580530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9440/938, 4809/3370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9440/938,4809/3370
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 9440/938,4809/3370, numerators are 9440,4809
Denominators are 938,3370
The GCF of 9440,4809 is 1 .
LCM of 938,3370 is 1580530.
The greatest common factor of 9440/938,4809/3370 = [GCF of 9440,4809]/[LCM of 938,3370]= 1/1580530
Therefore, the GCF of 9440/938,4809/3370 is 1/1580530.
To find the highest common factor of 9440,4809, we have to find the factors of both numbers and list the highest common factor.
The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440
The factors of 4809 are 1, 3, 7, 21, 229, 687, 1603, 4809
The HCF of 9440,4809 is 1.
Lets's calculate GCF of 9440,4809
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9440
:1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440
Now, list down the factors of 4809
:1,3,7,21,229,687,1603,4809
Greatest Common Factor
We found the factors 9440,4809 . The biggest common factor number is the GCF number.
So the greatest common factor 9440,4809 is 1.
Lets's calculate LCM of 938,3370
2 | 938, 3370 |
469, 1685 |
∴ So the LCM of the given numbers is 2 x 469 x 1685 = 1580530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1580530
Therefore, the GCF of Fractions 9440/938,4809/3370 is 1/1580530
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 938,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,3370) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(938,3370) x common factors =2 x 1 = 2
LCM(938,3370) = ( 938 × 3370 ) / 2
LCM(938,3370) = 3161060 / 2
LCM(938,3370) = 1580530
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9440,4809?
The HCF of 9440,4809 is 1
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 9440/938, 4809/3370?
Answer: GCF of Numerators as per given numbers 9440/938, 4809/3370 is
GCF of Numerators i.e. for 9440,4809 is 1
LCM of denominators i.e. for 938,3370 is 1580530.
Thus, GCF of Fractions is 1/1580530.Finally, GCF of Fractions for 9440/938, 4809/3370 is 1/1580530.