GCF of 1838/914, 7171/7403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1838/914, 7171/7403 i.e 1/6766342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1838/914, 7171/7403.
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 1838/914,7171/7403?
Given fractions are 1838/914,7171/7403
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 1838/914,7171/7403, numerators are 1838,7171
Denominators are 914,7403
The GCF of 1838,7171 is 1 .
LCM of 914,7403 is 6766342.
The greatest common factor of 1838/914,7171/7403 = [GCF of 1838,7171]/[LCM of 914,7403]= 1/6766342
Therefore, the GCF of 1838/914,7171/7403 is 1/6766342.
To find the highest common factor of 1838,7171, we have to find the factors of both numbers and list the highest common factor.
The factors of 1838 are 1, 2, 919, 1838
The factors of 7171 are 1, 71, 101, 7171
The HCF of 1838,7171 is 1.
Lets's calculate GCF of 1838,7171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1838,7171 By Matching Biggest Common Factor Method
Now, list down the factors of 1838
:1,2,919,1838
Now, list down the factors of 7171
:1,71,101,7171
Greatest Common Factor
We found the factors 1838,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 1838,7171 is 1.
Lets's calculate LCM of 914,7403
Given numbers has no common factors except 1. So, there LCM is their product i.e 6766342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6766342
Therefore, the GCF of Fractions 1838/914,7171/7403 is 1/6766342
Least Common Multiple of 914,7403 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 914,7403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,7403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(914,7403) x common factors =1 x 1 = 1
LCM(914,7403) = ( 914 × 7403 ) / 1
LCM(914,7403) = 6766342 / 1
LCM(914,7403) = 6766342
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FAQs on GCF of Fractions of 1838/914, 7171/7403
1. What is the HCF of 1838,7171?
The HCF of 1838,7171 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 1838/914, 7171/7403?
Answer: GCF of Numerators as per given numbers 1838/914, 7171/7403 is
GCF of Numerators i.e. for 1838,7171 is 1
LCM of denominators i.e. for 914,7403 is 6766342.
Thus, GCF of Fractions is 1/6766342.Finally, GCF of Fractions for 1838/914, 7171/7403 is 1/6766342.