GCF of 9503/933, 8130/9941
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9503/933, 8130/9941 i.e 1/9274953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9503/933, 8130/9941.
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 9503/933,8130/9941?
Given fractions are 9503/933,8130/9941
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 9503/933,8130/9941, numerators are 9503,8130
Denominators are 933,9941
The GCF of 9503,8130 is 1 .
LCM of 933,9941 is 9274953.
The greatest common factor of 9503/933,8130/9941 = [GCF of 9503,8130]/[LCM of 933,9941]= 1/9274953
Therefore, the GCF of 9503/933,8130/9941 is 1/9274953.
To find the highest common factor of 9503,8130, we have to find the factors of both numbers and list the highest common factor.
The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503
The factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130
The HCF of 9503,8130 is 1.
Lets's calculate GCF of 9503,8130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9503,8130 By Matching Biggest Common Factor Method
Now, list down the factors of 9503
:1,13,17,43,221,559,731,9503
Now, list down the factors of 8130
:1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130
Greatest Common Factor
We found the factors 9503,8130 . The biggest common factor number is the GCF number.
So the greatest common factor 9503,8130 is 1.
Lets's calculate LCM of 933,9941
Given numbers has no common factors except 1. So, there LCM is their product i.e 9274953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9274953
Therefore, the GCF of Fractions 9503/933,8130/9941 is 1/9274953
Least Common Multiple of 933,9941 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 933,9941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,9941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,9941) x common factors =1 x 1 = 1
LCM(933,9941) = ( 933 × 9941 ) / 1
LCM(933,9941) = 9274953 / 1
LCM(933,9941) = 9274953
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9503/933, 8130/9941
1. What is the HCF of 9503,8130?
The HCF of 9503,8130 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 9503/933, 8130/9941?
Answer: GCF of Numerators as per given numbers 9503/933, 8130/9941 is
GCF of Numerators i.e. for 9503,8130 is 1
LCM of denominators i.e. for 933,9941 is 9274953.
Thus, GCF of Fractions is 1/9274953.Finally, GCF of Fractions for 9503/933, 8130/9941 is 1/9274953.