GCF of 9881/340, 2296/3433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9881/340, 2296/3433 i.e 41/1167220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9881/340, 2296/3433.
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 9881/340,2296/3433?
Given fractions are 9881/340,2296/3433
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 9881/340,2296/3433, numerators are 9881,2296
Denominators are 340,3433
The GCF of 9881,2296 is 41 .
LCM of 340,3433 is 1167220.
The greatest common factor of 9881/340,2296/3433 = [GCF of 9881,2296]/[LCM of 340,3433]= 41/1167220
Therefore, the GCF of 9881/340,2296/3433 is 41/1167220.
To find the highest common factor of 9881,2296, we have to find the factors of both numbers and list the highest common factor.
The factors of 9881 are 1, 41, 241, 9881
The factors of 2296 are 1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148, 2296
The HCF of 9881,2296 is 41.
Lets's calculate GCF of 9881,2296
| 41 | 9881, 2296 |
| 241, 56 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 9881,2296 By Matching Biggest Common Factor Method
Now, list down the factors of 9881
:1,41,241,9881
Now, list down the factors of 2296
:1,2,4,7,8,14,28,41,56,82,164,287,328,574,1148,2296
Greatest Common Factor
We found the factors 9881,2296 . The biggest common factor number is the GCF number.
So the greatest common factor 9881,2296 is 41.
Lets's calculate LCM of 340,3433
Given numbers has no common factors except 1. So, there LCM is their product i.e 1167220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1167220
Therefore, the GCF of Fractions 9881/340,2296/3433 is 41/1167220
Least Common Multiple of 340,3433 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 340,3433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,3433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,3433) x common factors =1 x 1 = 1
LCM(340,3433) = ( 340 × 3433 ) / 1
LCM(340,3433) = 1167220 / 1
LCM(340,3433) = 1167220
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FAQs on GCF of Fractions of 9881/340, 2296/3433
1. What is the HCF of 9881,2296?
The HCF of 9881,2296 is 41
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 9881/340, 2296/3433?
Answer: GCF of Numerators as per given numbers 9881/340, 2296/3433 is
GCF of Numerators i.e. for 9881,2296 is 41
LCM of denominators i.e. for 340,3433 is 1167220.
Thus, GCF of Fractions is 41/1167220.Finally, GCF of Fractions for 9881/340, 2296/3433 is 41/1167220.