GCF of 9691/232, 9140/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9691/232, 9140/382 i.e 1/44312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9691/232, 9140/382.
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 9691/232,9140/382?
Given fractions are 9691/232,9140/382
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 9691/232,9140/382, numerators are 9691,9140
Denominators are 232,382
The GCF of 9691,9140 is 1 .
LCM of 232,382 is 44312.
The greatest common factor of 9691/232,9140/382 = [GCF of 9691,9140]/[LCM of 232,382]= 1/44312
Therefore, the GCF of 9691/232,9140/382 is 1/44312.
To find the highest common factor of 9691,9140, we have to find the factors of both numbers and list the highest common factor.
The factors of 9691 are 1, 11, 881, 9691
The factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140
The HCF of 9691,9140 is 1.
Lets's calculate GCF of 9691,9140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9691,9140 By Matching Biggest Common Factor Method
Now, list down the factors of 9691
:1,11,881,9691
Now, list down the factors of 9140
:1,2,4,5,10,20,457,914,1828,2285,4570,9140
Greatest Common Factor
We found the factors 9691,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 9691,9140 is 1.
Lets's calculate LCM of 232,382
| 2 | 232, 382 |
| 116, 191 |
∴ So the LCM of the given numbers is 2 x 116 x 191 = 44312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44312
Therefore, the GCF of Fractions 9691/232,9140/382 is 1/44312
Least Common Multiple of 232,382 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 232,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(232,382) x common factors =2 x 1 = 2
LCM(232,382) = ( 232 × 382 ) / 2
LCM(232,382) = 88624 / 2
LCM(232,382) = 44312
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FAQs on GCF of Fractions of 9691/232, 9140/382
1. What is the HCF of 9691,9140?
The HCF of 9691,9140 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 9691/232, 9140/382?
Answer: GCF of Numerators as per given numbers 9691/232, 9140/382 is
GCF of Numerators i.e. for 9691,9140 is 1
LCM of denominators i.e. for 232,382 is 44312.
Thus, GCF of Fractions is 1/44312.Finally, GCF of Fractions for 9691/232, 9140/382 is 1/44312.