GCF of 4285/397, 5976/1152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4285/397, 5976/1152 i.e 1/457344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4285/397, 5976/1152.
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 4285/397,5976/1152?
Given fractions are 4285/397,5976/1152
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 4285/397,5976/1152, numerators are 4285,5976
Denominators are 397,1152
The GCF of 4285,5976 is 1 .
LCM of 397,1152 is 457344.
The greatest common factor of 4285/397,5976/1152 = [GCF of 4285,5976]/[LCM of 397,1152]= 1/457344
Therefore, the GCF of 4285/397,5976/1152 is 1/457344.
To find the highest common factor of 4285,5976, we have to find the factors of both numbers and list the highest common factor.
The factors of 4285 are 1, 5, 857, 4285
The factors of 5976 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 83, 166, 249, 332, 498, 664, 747, 996, 1494, 1992, 2988, 5976
The HCF of 4285,5976 is 1.
Lets's calculate GCF of 4285,5976
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4285,5976 By Matching Biggest Common Factor Method
Now, list down the factors of 4285
:1,5,857,4285
Now, list down the factors of 5976
:1,2,3,4,6,8,9,12,18,24,36,72,83,166,249,332,498,664,747,996,1494,1992,2988,5976
Greatest Common Factor
We found the factors 4285,5976 . The biggest common factor number is the GCF number.
So the greatest common factor 4285,5976 is 1.
Lets's calculate LCM of 397,1152
Given numbers has no common factors except 1. So, there LCM is their product i.e 457344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457344
Therefore, the GCF of Fractions 4285/397,5976/1152 is 1/457344
Least Common Multiple of 397,1152 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 397,1152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,1152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,1152) x common factors =1 x 1 = 1
LCM(397,1152) = ( 397 × 1152 ) / 1
LCM(397,1152) = 457344 / 1
LCM(397,1152) = 457344
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FAQs on GCF of Fractions of 4285/397, 5976/1152
1. What is the HCF of 4285,5976?
The HCF of 4285,5976 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 4285/397, 5976/1152?
Answer: GCF of Numerators as per given numbers 4285/397, 5976/1152 is
GCF of Numerators i.e. for 4285,5976 is 1
LCM of denominators i.e. for 397,1152 is 457344.
Thus, GCF of Fractions is 1/457344.Finally, GCF of Fractions for 4285/397, 5976/1152 is 1/457344.