GCF of 4444/994, 5909/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4444/994, 5909/130 i.e 1/64610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4444/994, 5909/130.
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 4444/994,5909/130?
Given fractions are 4444/994,5909/130
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 4444/994,5909/130, numerators are 4444,5909
Denominators are 994,130
The GCF of 4444,5909 is 1 .
LCM of 994,130 is 64610.
The greatest common factor of 4444/994,5909/130 = [GCF of 4444,5909]/[LCM of 994,130]= 1/64610
Therefore, the GCF of 4444/994,5909/130 is 1/64610.
To find the highest common factor of 4444,5909, we have to find the factors of both numbers and list the highest common factor.
The factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444
The factors of 5909 are 1, 19, 311, 5909
The HCF of 4444,5909 is 1.
Lets's calculate GCF of 4444,5909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4444,5909 By Matching Biggest Common Factor Method
Now, list down the factors of 4444
:1,2,4,11,22,44,101,202,404,1111,2222,4444
Now, list down the factors of 5909
:1,19,311,5909
Greatest Common Factor
We found the factors 4444,5909 . The biggest common factor number is the GCF number.
So the greatest common factor 4444,5909 is 1.
Lets's calculate LCM of 994,130
| 2 | 994, 130 |
| 497, 65 |
∴ So the LCM of the given numbers is 2 x 497 x 65 = 64610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64610
Therefore, the GCF of Fractions 4444/994,5909/130 is 1/64610
Least Common Multiple of 994,130 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 994,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(994,130) x common factors =2 x 1 = 2
LCM(994,130) = ( 994 × 130 ) / 2
LCM(994,130) = 129220 / 2
LCM(994,130) = 64610
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FAQs on GCF of Fractions of 4444/994, 5909/130
1. What is the HCF of 4444,5909?
The HCF of 4444,5909 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 4444/994, 5909/130?
Answer: GCF of Numerators as per given numbers 4444/994, 5909/130 is
GCF of Numerators i.e. for 4444,5909 is 1
LCM of denominators i.e. for 994,130 is 64610.
Thus, GCF of Fractions is 1/64610.Finally, GCF of Fractions for 4444/994, 5909/130 is 1/64610.