GCF of 1993/301, 6746/7694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1993/301, 6746/7694 i.e 1/2315894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1993/301, 6746/7694.
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 1993/301,6746/7694?
Given fractions are 1993/301,6746/7694
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 1993/301,6746/7694, numerators are 1993,6746
Denominators are 301,7694
The GCF of 1993,6746 is 1 .
LCM of 301,7694 is 2315894.
The greatest common factor of 1993/301,6746/7694 = [GCF of 1993,6746]/[LCM of 301,7694]= 1/2315894
Therefore, the GCF of 1993/301,6746/7694 is 1/2315894.
To find the highest common factor of 1993,6746, we have to find the factors of both numbers and list the highest common factor.
The factors of 1993 are 1, 1993
The factors of 6746 are 1, 2, 3373, 6746
The HCF of 1993,6746 is 1.
Lets's calculate GCF of 1993,6746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1993,6746 By Matching Biggest Common Factor Method
Now, list down the factors of 1993
:1,1993
Now, list down the factors of 6746
:1,2,3373,6746
Greatest Common Factor
We found the factors 1993,6746 . The biggest common factor number is the GCF number.
So the greatest common factor 1993,6746 is 1.
Lets's calculate LCM of 301,7694
Given numbers has no common factors except 1. So, there LCM is their product i.e 2315894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2315894
Therefore, the GCF of Fractions 1993/301,6746/7694 is 1/2315894
Least Common Multiple of 301,7694 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 301,7694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,7694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(301,7694) x common factors =1 x 1 = 1
LCM(301,7694) = ( 301 × 7694 ) / 1
LCM(301,7694) = 2315894 / 1
LCM(301,7694) = 2315894
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FAQs on GCF of Fractions of 1993/301, 6746/7694
1. What is the HCF of 1993,6746?
The HCF of 1993,6746 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 1993/301, 6746/7694?
Answer: GCF of Numerators as per given numbers 1993/301, 6746/7694 is
GCF of Numerators i.e. for 1993,6746 is 1
LCM of denominators i.e. for 301,7694 is 2315894.
Thus, GCF of Fractions is 1/2315894.Finally, GCF of Fractions for 1993/301, 6746/7694 is 1/2315894.