GCF of 9941/925, 4356/1432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9941/925, 4356/1432 i.e 1/1324600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9941/925, 4356/1432.
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 9941/925,4356/1432?
Given fractions are 9941/925,4356/1432
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 9941/925,4356/1432, numerators are 9941,4356
Denominators are 925,1432
The GCF of 9941,4356 is 1 .
LCM of 925,1432 is 1324600.
The greatest common factor of 9941/925,4356/1432 = [GCF of 9941,4356]/[LCM of 925,1432]= 1/1324600
Therefore, the GCF of 9941/925,4356/1432 is 1/1324600.
To find the highest common factor of 9941,4356, we have to find the factors of both numbers and list the highest common factor.
The factors of 9941 are 1, 9941
The factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356
The HCF of 9941,4356 is 1.
Lets's calculate GCF of 9941,4356
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9941,4356 By Matching Biggest Common Factor Method
Now, list down the factors of 9941
:1,9941
Now, list down the factors of 4356
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Greatest Common Factor
We found the factors 9941,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 9941,4356 is 1.
Lets's calculate LCM of 925,1432
Given numbers has no common factors except 1. So, there LCM is their product i.e 1324600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324600
Therefore, the GCF of Fractions 9941/925,4356/1432 is 1/1324600
Least Common Multiple of 925,1432 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 925,1432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,1432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,1432) x common factors =1 x 1 = 1
LCM(925,1432) = ( 925 × 1432 ) / 1
LCM(925,1432) = 1324600 / 1
LCM(925,1432) = 1324600
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FAQs on GCF of Fractions of 9941/925, 4356/1432
1. What is the HCF of 9941,4356?
The HCF of 9941,4356 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 9941/925, 4356/1432?
Answer: GCF of Numerators as per given numbers 9941/925, 4356/1432 is
GCF of Numerators i.e. for 9941,4356 is 1
LCM of denominators i.e. for 925,1432 is 1324600.
Thus, GCF of Fractions is 1/1324600.Finally, GCF of Fractions for 9941/925, 4356/1432 is 1/1324600.