GCF of 4669/313, 2109/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4669/313, 2109/788 i.e 1/246644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4669/313, 2109/788.
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 4669/313,2109/788?
Given fractions are 4669/313,2109/788
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 4669/313,2109/788, numerators are 4669,2109
Denominators are 313,788
The GCF of 4669,2109 is 1 .
LCM of 313,788 is 246644.
The greatest common factor of 4669/313,2109/788 = [GCF of 4669,2109]/[LCM of 313,788]= 1/246644
Therefore, the GCF of 4669/313,2109/788 is 1/246644.
To find the highest common factor of 4669,2109, we have to find the factors of both numbers and list the highest common factor.
The factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669
The factors of 2109 are 1, 3, 19, 37, 57, 111, 703, 2109
The HCF of 4669,2109 is 1.
Lets's calculate GCF of 4669,2109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4669,2109 By Matching Biggest Common Factor Method
Now, list down the factors of 4669
:1,7,23,29,161,203,667,4669
Now, list down the factors of 2109
:1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 4669,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 4669,2109 is 1.
Lets's calculate LCM of 313,788
Given numbers has no common factors except 1. So, there LCM is their product i.e 246644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246644
Therefore, the GCF of Fractions 4669/313,2109/788 is 1/246644
Least Common Multiple of 313,788 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 313,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,788) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,788) x common factors =1 x 1 = 1
LCM(313,788) = ( 313 × 788 ) / 1
LCM(313,788) = 246644 / 1
LCM(313,788) = 246644
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FAQs on GCF of Fractions of 4669/313, 2109/788
1. What is the HCF of 4669,2109?
The HCF of 4669,2109 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 4669/313, 2109/788?
Answer: GCF of Numerators as per given numbers 4669/313, 2109/788 is
GCF of Numerators i.e. for 4669,2109 is 1
LCM of denominators i.e. for 313,788 is 246644.
Thus, GCF of Fractions is 1/246644.Finally, GCF of Fractions for 4669/313, 2109/788 is 1/246644.