GCF of 2993/401, 7172/4536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2993/401, 7172/4536 i.e 1/1818936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2993/401, 7172/4536.
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 2993/401,7172/4536?
Given fractions are 2993/401,7172/4536
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 2993/401,7172/4536, numerators are 2993,7172
Denominators are 401,4536
The GCF of 2993,7172 is 1 .
LCM of 401,4536 is 1818936.
The greatest common factor of 2993/401,7172/4536 = [GCF of 2993,7172]/[LCM of 401,4536]= 1/1818936
Therefore, the GCF of 2993/401,7172/4536 is 1/1818936.
To find the highest common factor of 2993,7172, we have to find the factors of both numbers and list the highest common factor.
The factors of 2993 are 1, 41, 73, 2993
The factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172
The HCF of 2993,7172 is 1.
Lets's calculate GCF of 2993,7172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2993,7172 By Matching Biggest Common Factor Method
Now, list down the factors of 2993
:1,41,73,2993
Now, list down the factors of 7172
:1,2,4,11,22,44,163,326,652,1793,3586,7172
Greatest Common Factor
We found the factors 2993,7172 . The biggest common factor number is the GCF number.
So the greatest common factor 2993,7172 is 1.
Lets's calculate LCM of 401,4536
Given numbers has no common factors except 1. So, there LCM is their product i.e 1818936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1818936
Therefore, the GCF of Fractions 2993/401,7172/4536 is 1/1818936
Least Common Multiple of 401,4536 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 401,4536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,4536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,4536) x common factors =1 x 1 = 1
LCM(401,4536) = ( 401 × 4536 ) / 1
LCM(401,4536) = 1818936 / 1
LCM(401,4536) = 1818936
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FAQs on GCF of Fractions of 2993/401, 7172/4536
1. What is the HCF of 2993,7172?
The HCF of 2993,7172 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 2993/401, 7172/4536?
Answer: GCF of Numerators as per given numbers 2993/401, 7172/4536 is
GCF of Numerators i.e. for 2993,7172 is 1
LCM of denominators i.e. for 401,4536 is 1818936.
Thus, GCF of Fractions is 1/1818936.Finally, GCF of Fractions for 2993/401, 7172/4536 is 1/1818936.