GCF of 9940/765, 4649/3828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9940/765, 4649/3828 i.e 1/976140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9940/765, 4649/3828.
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 9940/765,4649/3828?
Given fractions are 9940/765,4649/3828
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 9940/765,4649/3828, numerators are 9940,4649
Denominators are 765,3828
The GCF of 9940,4649 is 1 .
LCM of 765,3828 is 976140.
The greatest common factor of 9940/765,4649/3828 = [GCF of 9940,4649]/[LCM of 765,3828]= 1/976140
Therefore, the GCF of 9940/765,4649/3828 is 1/976140.
To find the highest common factor of 9940,4649, we have to find the factors of both numbers and list the highest common factor.
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The factors of 4649 are 1, 4649
The HCF of 9940,4649 is 1.
Lets's calculate GCF of 9940,4649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9940,4649 By Matching Biggest Common Factor Method
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Now, list down the factors of 4649
:1,4649
Greatest Common Factor
We found the factors 9940,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 9940,4649 is 1.
Lets's calculate LCM of 765,3828
| 3 | 765, 3828 |
| 255, 1276 |
∴ So the LCM of the given numbers is 3 x 255 x 1276 = 976140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/976140
Therefore, the GCF of Fractions 9940/765,4649/3828 is 1/976140
Least Common Multiple of 765,3828 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 765,3828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,3828) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(765,3828) x common factors =3 x 1 = 3
LCM(765,3828) = ( 765 × 3828 ) / 3
LCM(765,3828) = 2928420 / 3
LCM(765,3828) = 976140
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FAQs on GCF of Fractions of 9940/765, 4649/3828
1. What is the HCF of 9940,4649?
The HCF of 9940,4649 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 9940/765, 4649/3828?
Answer: GCF of Numerators as per given numbers 9940/765, 4649/3828 is
GCF of Numerators i.e. for 9940,4649 is 1
LCM of denominators i.e. for 765,3828 is 976140.
Thus, GCF of Fractions is 1/976140.Finally, GCF of Fractions for 9940/765, 4649/3828 is 1/976140.