GCF of 9353/518, 9154/5469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9353/518, 9154/5469 i.e 199/2832942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9353/518, 9154/5469.
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 9353/518,9154/5469?
Given fractions are 9353/518,9154/5469
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 9353/518,9154/5469, numerators are 9353,9154
Denominators are 518,5469
The GCF of 9353,9154 is 199 .
LCM of 518,5469 is 2832942.
The greatest common factor of 9353/518,9154/5469 = [GCF of 9353,9154]/[LCM of 518,5469]= 199/2832942
Therefore, the GCF of 9353/518,9154/5469 is 199/2832942.
To find the highest common factor of 9353,9154, we have to find the factors of both numbers and list the highest common factor.
The factors of 9353 are 1, 47, 199, 9353
The factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154
The HCF of 9353,9154 is 199.
Lets's calculate GCF of 9353,9154
| 199 | 9353, 9154 |
| 47, 46 |
∴ So the GCF of the given numbers is 199 = 199
Greatest Common Factor of 9353,9154 By Matching Biggest Common Factor Method
Now, list down the factors of 9353
:1,47,199,9353
Now, list down the factors of 9154
:1,2,23,46,199,398,4577,9154
Greatest Common Factor
We found the factors 9353,9154 . The biggest common factor number is the GCF number.
So the greatest common factor 9353,9154 is 199.
Lets's calculate LCM of 518,5469
Given numbers has no common factors except 1. So, there LCM is their product i.e 2832942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 199/2832942
Therefore, the GCF of Fractions 9353/518,9154/5469 is 199/2832942
Least Common Multiple of 518,5469 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 518,5469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,5469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(518,5469) x common factors =1 x 1 = 1
LCM(518,5469) = ( 518 × 5469 ) / 1
LCM(518,5469) = 2832942 / 1
LCM(518,5469) = 2832942
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FAQs on GCF of Fractions of 9353/518, 9154/5469
1. What is the HCF of 9353,9154?
The HCF of 9353,9154 is 199
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 9353/518, 9154/5469?
Answer: GCF of Numerators as per given numbers 9353/518, 9154/5469 is
GCF of Numerators i.e. for 9353,9154 is 199
LCM of denominators i.e. for 518,5469 is 2832942.
Thus, GCF of Fractions is 199/2832942.Finally, GCF of Fractions for 9353/518, 9154/5469 is 199/2832942.