GCF of 9094/353, 5588/1976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9094/353, 5588/1976 i.e 2/697528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9094/353, 5588/1976.
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 9094/353,5588/1976?
Given fractions are 9094/353,5588/1976
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 9094/353,5588/1976, numerators are 9094,5588
Denominators are 353,1976
The GCF of 9094,5588 is 2 .
LCM of 353,1976 is 697528.
The greatest common factor of 9094/353,5588/1976 = [GCF of 9094,5588]/[LCM of 353,1976]= 2/697528
Therefore, the GCF of 9094/353,5588/1976 is 2/697528.
To find the highest common factor of 9094,5588, we have to find the factors of both numbers and list the highest common factor.
The factors of 9094 are 1, 2, 4547, 9094
The factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588
The HCF of 9094,5588 is 2.
Lets's calculate GCF of 9094,5588
| 2 | 9094, 5588 |
| 4547, 2794 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9094,5588 By Matching Biggest Common Factor Method
Now, list down the factors of 9094
:1,2,4547,9094
Now, list down the factors of 5588
:1,2,4,11,22,44,127,254,508,1397,2794,5588
Greatest Common Factor
We found the factors 9094,5588 . The biggest common factor number is the GCF number.
So the greatest common factor 9094,5588 is 2.
Lets's calculate LCM of 353,1976
Given numbers has no common factors except 1. So, there LCM is their product i.e 697528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/697528
Therefore, the GCF of Fractions 9094/353,5588/1976 is 2/697528
Least Common Multiple of 353,1976 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 353,1976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,1976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,1976) x common factors =1 x 1 = 1
LCM(353,1976) = ( 353 × 1976 ) / 1
LCM(353,1976) = 697528 / 1
LCM(353,1976) = 697528
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FAQs on GCF of Fractions of 9094/353, 5588/1976
1. What is the HCF of 9094,5588?
The HCF of 9094,5588 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 9094/353, 5588/1976?
Answer: GCF of Numerators as per given numbers 9094/353, 5588/1976 is
GCF of Numerators i.e. for 9094,5588 is 2
LCM of denominators i.e. for 353,1976 is 697528.
Thus, GCF of Fractions is 2/697528.Finally, GCF of Fractions for 9094/353, 5588/1976 is 2/697528.