GCF of 2389/111, 1121/3403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2389/111, 1121/3403 i.e 1/377733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2389/111, 1121/3403.
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 2389/111,1121/3403?
Given fractions are 2389/111,1121/3403
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 2389/111,1121/3403, numerators are 2389,1121
Denominators are 111,3403
The GCF of 2389,1121 is 1 .
LCM of 111,3403 is 377733.
The greatest common factor of 2389/111,1121/3403 = [GCF of 2389,1121]/[LCM of 111,3403]= 1/377733
Therefore, the GCF of 2389/111,1121/3403 is 1/377733.
To find the highest common factor of 2389,1121, we have to find the factors of both numbers and list the highest common factor.
The factors of 2389 are 1, 2389
The factors of 1121 are 1, 19, 59, 1121
The HCF of 2389,1121 is 1.
Lets's calculate GCF of 2389,1121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2389,1121 By Matching Biggest Common Factor Method
Now, list down the factors of 2389
:1,2389
Now, list down the factors of 1121
:1,19,59,1121
Greatest Common Factor
We found the factors 2389,1121 . The biggest common factor number is the GCF number.
So the greatest common factor 2389,1121 is 1.
Lets's calculate LCM of 111,3403
Given numbers has no common factors except 1. So, there LCM is their product i.e 377733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377733
Therefore, the GCF of Fractions 2389/111,1121/3403 is 1/377733
Least Common Multiple of 111,3403 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 111,3403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,3403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,3403) x common factors =1 x 1 = 1
LCM(111,3403) = ( 111 × 3403 ) / 1
LCM(111,3403) = 377733 / 1
LCM(111,3403) = 377733
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FAQs on GCF of Fractions of 2389/111, 1121/3403
1. What is the HCF of 2389,1121?
The HCF of 2389,1121 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 2389/111, 1121/3403?
Answer: GCF of Numerators as per given numbers 2389/111, 1121/3403 is
GCF of Numerators i.e. for 2389,1121 is 1
LCM of denominators i.e. for 111,3403 is 377733.
Thus, GCF of Fractions is 1/377733.Finally, GCF of Fractions for 2389/111, 1121/3403 is 1/377733.