GCF of 4469/490, 2109/339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4469/490, 2109/339 i.e 1/166110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4469/490, 2109/339.
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 4469/490,2109/339?
Given fractions are 4469/490,2109/339
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 4469/490,2109/339, numerators are 4469,2109
Denominators are 490,339
The GCF of 4469,2109 is 1 .
LCM of 490,339 is 166110.
The greatest common factor of 4469/490,2109/339 = [GCF of 4469,2109]/[LCM of 490,339]= 1/166110
Therefore, the GCF of 4469/490,2109/339 is 1/166110.
To find the highest common factor of 4469,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4469 are 1, 41, 109, 4469
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 4469,2109 is 1.
Lets's calculate GCF of 4469,2109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4469,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 4469
:1,41,109,4469
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 4469,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 4469,2109 is 1.
Lets's calculate LCM of 490,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 166110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166110
Therefore, the GCF of Fractions 4469/490,2109/339 is 1/166110
Least Common Multiple of 490,339 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 490,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,339) x common factors =1 x 1 = 1
LCM(490,339) = ( 490 × 339 ) / 1
LCM(490,339) = 166110 / 1
LCM(490,339) = 166110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4469/490, 2109/339
1. What is the HCF of 4469,2109?
The HCF of 4469,2109 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 4469/490, 2109/339?
Answer: GCF of Numerators as per given numbers 4469/490, 2109/339 is
GCF of Numerators i.e. for 4469,2109 is 1
LCM of denominators i.e. for 490,339 is 166110.
Thus, GCF of Fractions is 1/166110.Finally, GCF of Fractions for 4469/490, 2109/339 is 1/166110.