GCF of 3968/387, 9731/7816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3968/387, 9731/7816 i.e 1/3024792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3968/387, 9731/7816.
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 3968/387,9731/7816?
Given fractions are 3968/387,9731/7816
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 3968/387,9731/7816, numerators are 3968,9731
Denominators are 387,7816
The GCF of 3968,9731 is 1 .
LCM of 387,7816 is 3024792.
The greatest common factor of 3968/387,9731/7816 = [GCF of 3968,9731]/[LCM of 387,7816]= 1/3024792
Therefore, the GCF of 3968/387,9731/7816 is 1/3024792.
To find the highest common factor of 3968,9731, we have to find the factors of both numbers and list the highest common factor.
The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968
The factors of 9731 are 1, 37, 263, 9731
The HCF of 3968,9731 is 1.
Lets's calculate GCF of 3968,9731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3968,9731 By Matching Biggest Common Factor Method
Now, list down the factors of 3968
:1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Now, list down the factors of 9731
:1,37,263,9731
Greatest Common Factor
We found the factors 3968,9731 . The biggest common factor number is the GCF number.
So the greatest common factor 3968,9731 is 1.
Lets's calculate LCM of 387,7816
Given numbers has no common factors except 1. So, there LCM is their product i.e 3024792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3024792
Therefore, the GCF of Fractions 3968/387,9731/7816 is 1/3024792
Least Common Multiple of 387,7816 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 387,7816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,7816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,7816) x common factors =1 x 1 = 1
LCM(387,7816) = ( 387 × 7816 ) / 1
LCM(387,7816) = 3024792 / 1
LCM(387,7816) = 3024792
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FAQs on GCF of Fractions of 3968/387, 9731/7816
1. What is the HCF of 3968,9731?
The HCF of 3968,9731 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 3968/387, 9731/7816?
Answer: GCF of Numerators as per given numbers 3968/387, 9731/7816 is
GCF of Numerators i.e. for 3968,9731 is 1
LCM of denominators i.e. for 387,7816 is 3024792.
Thus, GCF of Fractions is 1/3024792.Finally, GCF of Fractions for 3968/387, 9731/7816 is 1/3024792.