GCF of 9494/829, 5054/9917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9494/829, 5054/9917 i.e 2/8221193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9494/829, 5054/9917.
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 9494/829,5054/9917?
Given fractions are 9494/829,5054/9917
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 9494/829,5054/9917, numerators are 9494,5054
Denominators are 829,9917
The GCF of 9494,5054 is 2 .
LCM of 829,9917 is 8221193.
The greatest common factor of 9494/829,5054/9917 = [GCF of 9494,5054]/[LCM of 829,9917]= 2/8221193
Therefore, the GCF of 9494/829,5054/9917 is 2/8221193.
To find the highest common factor of 9494,5054, we have to find the factors of both numbers and list the highest common factor.
The factors of 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494
The factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054
The HCF of 9494,5054 is 2.
Lets's calculate GCF of 9494,5054
| 2 | 9494, 5054 |
| 4747, 2527 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9494,5054 By Matching Biggest Common Factor Method
Now, list down the factors of 9494
:1,2,47,94,101,202,4747,9494
Now, list down the factors of 5054
:1,2,7,14,19,38,133,266,361,722,2527,5054
Greatest Common Factor
We found the factors 9494,5054 . The biggest common factor number is the GCF number.
So the greatest common factor 9494,5054 is 2.
Lets's calculate LCM of 829,9917
Given numbers has no common factors except 1. So, there LCM is their product i.e 8221193
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8221193
Therefore, the GCF of Fractions 9494/829,5054/9917 is 2/8221193
Least Common Multiple of 829,9917 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 829,9917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,9917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,9917) x common factors =1 x 1 = 1
LCM(829,9917) = ( 829 × 9917 ) / 1
LCM(829,9917) = 8221193 / 1
LCM(829,9917) = 8221193
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FAQs on GCF of Fractions of 9494/829, 5054/9917
1. What is the HCF of 9494,5054?
The HCF of 9494,5054 is 2
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 9494/829, 5054/9917?
Answer: GCF of Numerators as per given numbers 9494/829, 5054/9917 is
GCF of Numerators i.e. for 9494,5054 is 2
LCM of denominators i.e. for 829,9917 is 8221193.
Thus, GCF of Fractions is 2/8221193.Finally, GCF of Fractions for 9494/829, 5054/9917 is 2/8221193.