GCF of 4303/179, 4152/7401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4303/179, 4152/7401 i.e 1/1324779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4303/179, 4152/7401.
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 4303/179,4152/7401?
Given fractions are 4303/179,4152/7401
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 4303/179,4152/7401, numerators are 4303,4152
Denominators are 179,7401
The GCF of 4303,4152 is 1 .
LCM of 179,7401 is 1324779.
The greatest common factor of 4303/179,4152/7401 = [GCF of 4303,4152]/[LCM of 179,7401]= 1/1324779
Therefore, the GCF of 4303/179,4152/7401 is 1/1324779.
To find the highest common factor of 4303,4152, we have to find the factors of both numbers and list the highest common factor.
The factors of 4303 are 1, 13, 331, 4303
The factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152
The HCF of 4303,4152 is 1.
Lets's calculate GCF of 4303,4152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4303,4152 By Matching Biggest Common Factor Method
Now, list down the factors of 4303
:1,13,331,4303
Now, list down the factors of 4152
:1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152
Greatest Common Factor
We found the factors 4303,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 4303,4152 is 1.
Lets's calculate LCM of 179,7401
Given numbers has no common factors except 1. So, there LCM is their product i.e 1324779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324779
Therefore, the GCF of Fractions 4303/179,4152/7401 is 1/1324779
Least Common Multiple of 179,7401 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 179,7401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,7401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,7401) x common factors =1 x 1 = 1
LCM(179,7401) = ( 179 × 7401 ) / 1
LCM(179,7401) = 1324779 / 1
LCM(179,7401) = 1324779
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FAQs on GCF of Fractions of 4303/179, 4152/7401
1. What is the HCF of 4303,4152?
The HCF of 4303,4152 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 4303/179, 4152/7401?
Answer: GCF of Numerators as per given numbers 4303/179, 4152/7401 is
GCF of Numerators i.e. for 4303,4152 is 1
LCM of denominators i.e. for 179,7401 is 1324779.
Thus, GCF of Fractions is 1/1324779.Finally, GCF of Fractions for 4303/179, 4152/7401 is 1/1324779.