GCF of 4944/926, 3777/8741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4944/926, 3777/8741 i.e 3/8094166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4944/926, 3777/8741.
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 4944/926,3777/8741?
Given fractions are 4944/926,3777/8741
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 4944/926,3777/8741, numerators are 4944,3777
Denominators are 926,8741
The GCF of 4944,3777 is 3 .
LCM of 926,8741 is 8094166.
The greatest common factor of 4944/926,3777/8741 = [GCF of 4944,3777]/[LCM of 926,8741]= 3/8094166
Therefore, the GCF of 4944/926,3777/8741 is 3/8094166.
To find the highest common factor of 4944,3777, we have to find the factors of both numbers and list the highest common factor.
The factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944
The factors of 3777 are 1, 3, 1259, 3777
The HCF of 4944,3777 is 3.
Lets's calculate GCF of 4944,3777
| 3 | 4944, 3777 |
| 1648, 1259 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4944,3777 By Matching Biggest Common Factor Method
Now, list down the factors of 4944
:1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Now, list down the factors of 3777
:1,3,1259,3777
Greatest Common Factor
We found the factors 4944,3777 . The biggest common factor number is the GCF number.
So the greatest common factor 4944,3777 is 3.
Lets's calculate LCM of 926,8741
Given numbers has no common factors except 1. So, there LCM is their product i.e 8094166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8094166
Therefore, the GCF of Fractions 4944/926,3777/8741 is 3/8094166
Least Common Multiple of 926,8741 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 926,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,8741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,8741) x common factors =1 x 1 = 1
LCM(926,8741) = ( 926 × 8741 ) / 1
LCM(926,8741) = 8094166 / 1
LCM(926,8741) = 8094166
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4944/926, 3777/8741
1. What is the HCF of 4944,3777?
The HCF of 4944,3777 is 3
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 4944/926, 3777/8741?
Answer: GCF of Numerators as per given numbers 4944/926, 3777/8741 is
GCF of Numerators i.e. for 4944,3777 is 3
LCM of denominators i.e. for 926,8741 is 8094166.
Thus, GCF of Fractions is 3/8094166.Finally, GCF of Fractions for 4944/926, 3777/8741 is 3/8094166.