GCF of 2103/119, 9191/5620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2103/119, 9191/5620 i.e 1/668780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2103/119, 9191/5620.
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 2103/119,9191/5620?
Given fractions are 2103/119,9191/5620
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 2103/119,9191/5620, numerators are 2103,9191
Denominators are 119,5620
The GCF of 2103,9191 is 1 .
LCM of 119,5620 is 668780.
The greatest common factor of 2103/119,9191/5620 = [GCF of 2103,9191]/[LCM of 119,5620]= 1/668780
Therefore, the GCF of 2103/119,9191/5620 is 1/668780.
To find the highest common factor of 2103,9191, we have to find the factors of both numbers and list the highest common factor.
The factors of 2103 are 1, 3, 701, 2103
The factors of 9191 are 1, 7, 13, 91, 101, 707, 1313, 9191
The HCF of 2103,9191 is 1.
Lets's calculate GCF of 2103,9191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2103,9191 By Matching Biggest Common Factor Method
Now, list down the factors of 2103
:1,3,701,2103
Now, list down the factors of 9191
:1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 2103,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 2103,9191 is 1.
Lets's calculate LCM of 119,5620
Given numbers has no common factors except 1. So, there LCM is their product i.e 668780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/668780
Therefore, the GCF of Fractions 2103/119,9191/5620 is 1/668780
Least Common Multiple of 119,5620 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 119,5620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,5620) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,5620) x common factors =1 x 1 = 1
LCM(119,5620) = ( 119 × 5620 ) / 1
LCM(119,5620) = 668780 / 1
LCM(119,5620) = 668780
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FAQs on GCF of Fractions of 2103/119, 9191/5620
1. What is the HCF of 2103,9191?
The HCF of 2103,9191 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 2103/119, 9191/5620?
Answer: GCF of Numerators as per given numbers 2103/119, 9191/5620 is
GCF of Numerators i.e. for 2103,9191 is 1
LCM of denominators i.e. for 119,5620 is 668780.
Thus, GCF of Fractions is 1/668780.Finally, GCF of Fractions for 2103/119, 9191/5620 is 1/668780.