GCF of 7790/906, 9845/9328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7790/906, 9845/9328 i.e 5/4225584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7790/906, 9845/9328.
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 7790/906,9845/9328?
Given fractions are 7790/906,9845/9328
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 7790/906,9845/9328, numerators are 7790,9845
Denominators are 906,9328
The GCF of 7790,9845 is 5 .
LCM of 906,9328 is 4225584.
The greatest common factor of 7790/906,9845/9328 = [GCF of 7790,9845]/[LCM of 906,9328]= 5/4225584
Therefore, the GCF of 7790/906,9845/9328 is 5/4225584.
To find the highest common factor of 7790,9845, we have to find the factors of both numbers and list the highest common factor.
The factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790
The factors of 9845 are 1, 5, 11, 55, 179, 895, 1969, 9845
The HCF of 7790,9845 is 5.
Lets's calculate GCF of 7790,9845
| 5 | 7790, 9845 |
| 1558, 1969 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7790,9845 By Matching Biggest Common Factor Method
Now, list down the factors of 7790
:1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790
Now, list down the factors of 9845
:1,5,11,55,179,895,1969,9845
Greatest Common Factor
We found the factors 7790,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 7790,9845 is 5.
Lets's calculate LCM of 906,9328
| 2 | 906, 9328 |
| 453, 4664 |
∴ So the LCM of the given numbers is 2 x 453 x 4664 = 4225584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4225584
Therefore, the GCF of Fractions 7790/906,9845/9328 is 5/4225584
Least Common Multiple of 906,9328 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 906,9328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,9328) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(906,9328) x common factors =2 x 1 = 2
LCM(906,9328) = ( 906 × 9328 ) / 2
LCM(906,9328) = 8451168 / 2
LCM(906,9328) = 4225584
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FAQs on GCF of Fractions of 7790/906, 9845/9328
1. What is the HCF of 7790,9845?
The HCF of 7790,9845 is 5
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 7790/906, 9845/9328?
Answer: GCF of Numerators as per given numbers 7790/906, 9845/9328 is
GCF of Numerators i.e. for 7790,9845 is 5
LCM of denominators i.e. for 906,9328 is 4225584.
Thus, GCF of Fractions is 5/4225584.Finally, GCF of Fractions for 7790/906, 9845/9328 is 5/4225584.