GCF of 3793/185, 6114/7331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3793/185, 6114/7331 i.e 1/1356235 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3793/185, 6114/7331.
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 3793/185,6114/7331?
Given fractions are 3793/185,6114/7331
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 3793/185,6114/7331, numerators are 3793,6114
Denominators are 185,7331
The GCF of 3793,6114 is 1 .
LCM of 185,7331 is 1356235.
The greatest common factor of 3793/185,6114/7331 = [GCF of 3793,6114]/[LCM of 185,7331]= 1/1356235
Therefore, the GCF of 3793/185,6114/7331 is 1/1356235.
To find the highest common factor of 3793,6114, we have to find the factors of both numbers and list the highest common factor.
The factors of 3793 are 1, 3793
The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The HCF of 3793,6114 is 1.
Lets's calculate GCF of 3793,6114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3793,6114 By Matching Biggest Common Factor Method
Now, list down the factors of 3793
:1,3793
Now, list down the factors of 6114
:1,2,3,6,1019,2038,3057,6114
Greatest Common Factor
We found the factors 3793,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 3793,6114 is 1.
Lets's calculate LCM of 185,7331
Given numbers has no common factors except 1. So, there LCM is their product i.e 1356235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1356235
Therefore, the GCF of Fractions 3793/185,6114/7331 is 1/1356235
Least Common Multiple of 185,7331 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 185,7331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,7331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,7331) x common factors =1 x 1 = 1
LCM(185,7331) = ( 185 × 7331 ) / 1
LCM(185,7331) = 1356235 / 1
LCM(185,7331) = 1356235
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FAQs on GCF of Fractions of 3793/185, 6114/7331
1. What is the HCF of 3793,6114?
The HCF of 3793,6114 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 3793/185, 6114/7331?
Answer: GCF of Numerators as per given numbers 3793/185, 6114/7331 is
GCF of Numerators i.e. for 3793,6114 is 1
LCM of denominators i.e. for 185,7331 is 1356235.
Thus, GCF of Fractions is 1/1356235.Finally, GCF of Fractions for 3793/185, 6114/7331 is 1/1356235.