GCF of 9401/638, 9129/2257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9401/638, 9129/2257 i.e 17/1439966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9401/638, 9129/2257.
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 9401/638,9129/2257?
Given fractions are 9401/638,9129/2257
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 9401/638,9129/2257, numerators are 9401,9129
Denominators are 638,2257
The GCF of 9401,9129 is 17 .
LCM of 638,2257 is 1439966.
The greatest common factor of 9401/638,9129/2257 = [GCF of 9401,9129]/[LCM of 638,2257]= 17/1439966
Therefore, the GCF of 9401/638,9129/2257 is 17/1439966.
To find the highest common factor of 9401,9129, we have to find the factors of both numbers and list the highest common factor.
The factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401
The factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129
The HCF of 9401,9129 is 17.
Lets's calculate GCF of 9401,9129
| 17 | 9401, 9129 |
| 553, 537 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 9401,9129 By Matching Biggest Common Factor Method
Now, list down the factors of 9401
:1,7,17,79,119,553,1343,9401
Now, list down the factors of 9129
:1,3,17,51,179,537,3043,9129
Greatest Common Factor
We found the factors 9401,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 9401,9129 is 17.
Lets's calculate LCM of 638,2257
Given numbers has no common factors except 1. So, there LCM is their product i.e 1439966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1439966
Therefore, the GCF of Fractions 9401/638,9129/2257 is 17/1439966
Least Common Multiple of 638,2257 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 638,2257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,2257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,2257) x common factors =1 x 1 = 1
LCM(638,2257) = ( 638 × 2257 ) / 1
LCM(638,2257) = 1439966 / 1
LCM(638,2257) = 1439966
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9401/638, 9129/2257
1. What is the HCF of 9401,9129?
The HCF of 9401,9129 is 17
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 9401/638, 9129/2257?
Answer: GCF of Numerators as per given numbers 9401/638, 9129/2257 is
GCF of Numerators i.e. for 9401,9129 is 17
LCM of denominators i.e. for 638,2257 is 1439966.
Thus, GCF of Fractions is 17/1439966.Finally, GCF of Fractions for 9401/638, 9129/2257 is 17/1439966.