GCF of 4641/431, 2989/9297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4641/431, 2989/9297 i.e 7/4007007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4641/431, 2989/9297.
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 4641/431,2989/9297?
Given fractions are 4641/431,2989/9297
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 4641/431,2989/9297, numerators are 4641,2989
Denominators are 431,9297
The GCF of 4641,2989 is 7 .
LCM of 431,9297 is 4007007.
The greatest common factor of 4641/431,2989/9297 = [GCF of 4641,2989]/[LCM of 431,9297]= 7/4007007
Therefore, the GCF of 4641/431,2989/9297 is 7/4007007.
To find the highest common factor of 4641,2989, we have to find the factors of both numbers and list the highest common factor.
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The factors of 2989 are 1, 7, 49, 61, 427, 2989
The HCF of 4641,2989 is 7.
Lets's calculate GCF of 4641,2989
| 7 | 4641, 2989 |
| 663, 427 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4641,2989 By Matching Biggest Common Factor Method
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Now, list down the factors of 2989
:1,7,49,61,427,2989
Greatest Common Factor
We found the factors 4641,2989 . The biggest common factor number is the GCF number.
So the greatest common factor 4641,2989 is 7.
Lets's calculate LCM of 431,9297
Given numbers has no common factors except 1. So, there LCM is their product i.e 4007007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4007007
Therefore, the GCF of Fractions 4641/431,2989/9297 is 7/4007007
Least Common Multiple of 431,9297 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 431,9297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,9297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,9297) x common factors =1 x 1 = 1
LCM(431,9297) = ( 431 × 9297 ) / 1
LCM(431,9297) = 4007007 / 1
LCM(431,9297) = 4007007
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FAQs on GCF of Fractions of 4641/431, 2989/9297
1. What is the HCF of 4641,2989?
The HCF of 4641,2989 is 7
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 4641/431, 2989/9297?
Answer: GCF of Numerators as per given numbers 4641/431, 2989/9297 is
GCF of Numerators i.e. for 4641,2989 is 7
LCM of denominators i.e. for 431,9297 is 4007007.
Thus, GCF of Fractions is 7/4007007.Finally, GCF of Fractions for 4641/431, 2989/9297 is 7/4007007.