GCF of 4984/308, 7941/9468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4984/308, 7941/9468 i.e 1/729036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4984/308, 7941/9468.
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 4984/308,7941/9468?
Given fractions are 4984/308,7941/9468
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 4984/308,7941/9468, numerators are 4984,7941
Denominators are 308,9468
The GCF of 4984,7941 is 1 .
LCM of 308,9468 is 729036.
The greatest common factor of 4984/308,7941/9468 = [GCF of 4984,7941]/[LCM of 308,9468]= 1/729036
Therefore, the GCF of 4984/308,7941/9468 is 1/729036.
To find the highest common factor of 4984,7941, we have to find the factors of both numbers and list the highest common factor.
The factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984
The factors of 7941 are 1, 3, 2647, 7941
The HCF of 4984,7941 is 1.
Lets's calculate GCF of 4984,7941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4984,7941 By Matching Biggest Common Factor Method
Now, list down the factors of 4984
:1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984
Now, list down the factors of 7941
:1,3,2647,7941
Greatest Common Factor
We found the factors 4984,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 4984,7941 is 1.
Lets's calculate LCM of 308,9468
| 2 | 308, 9468 |
| 2 | 154, 4734 |
| 77, 2367 |
∴ So the LCM of the given numbers is 2 x 2 x 77 x 2367 = 729036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729036
Therefore, the GCF of Fractions 4984/308,7941/9468 is 1/729036
Least Common Multiple of 308,9468 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 308,9468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,9468) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(308,9468) x common factors =4 x 1 = 4
LCM(308,9468) = ( 308 × 9468 ) / 4
LCM(308,9468) = 2916144 / 4
LCM(308,9468) = 729036
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FAQs on GCF of Fractions of 4984/308, 7941/9468
1. What is the HCF of 4984,7941?
The HCF of 4984,7941 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 4984/308, 7941/9468?
Answer: GCF of Numerators as per given numbers 4984/308, 7941/9468 is
GCF of Numerators i.e. for 4984,7941 is 1
LCM of denominators i.e. for 308,9468 is 729036.
Thus, GCF of Fractions is 1/729036.Finally, GCF of Fractions for 4984/308, 7941/9468 is 1/729036.