Use our free GCF of Fractions Calculator tool to compute the GCF of 4094/737, 5934/1769 i.e 46/1303753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4094/737, 5934/1769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4094/737,5934/1769
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 4094/737,5934/1769, numerators are 4094,5934
Denominators are 737,1769
The GCF of 4094,5934 is 46 .
LCM of 737,1769 is 1303753.
The greatest common factor of 4094/737,5934/1769 = [GCF of 4094,5934]/[LCM of 737,1769]= 46/1303753
Therefore, the GCF of 4094/737,5934/1769 is 46/1303753.
To find the highest common factor of 4094,5934, we have to find the factors of both numbers and list the highest common factor.
The factors of 4094 are 1, 2, 23, 46, 89, 178, 2047, 4094
The factors of 5934 are 1, 2, 3, 6, 23, 43, 46, 69, 86, 129, 138, 258, 989, 1978, 2967, 5934
The HCF of 4094,5934 is 46.
Lets's calculate GCF of 4094,5934
2 | 4094, 5934 |
23 | 2047, 2967 |
89, 129 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Now, list down the factors of 4094
:1,2,23,46,89,178,2047,4094
Now, list down the factors of 5934
:1,2,3,6,23,43,46,69,86,129,138,258,989,1978,2967,5934
Greatest Common Factor
We found the factors 4094,5934 . The biggest common factor number is the GCF number.
So the greatest common factor 4094,5934 is 46.
Lets's calculate LCM of 737,1769
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/1303753
Therefore, the GCF of Fractions 4094/737,5934/1769 is 46/1303753
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 737,1769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,1769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,1769) x common factors =1 x 1 = 1
LCM(737,1769) = ( 737 × 1769 ) / 1
LCM(737,1769) = 1303753 / 1
LCM(737,1769) = 1303753
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4094,5934?
The HCF of 4094,5934 is 46
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 4094/737, 5934/1769?
Answer: GCF of Numerators as per given numbers 4094/737, 5934/1769 is
GCF of Numerators i.e. for 4094,5934 is 46
LCM of denominators i.e. for 737,1769 is 1303753.
Thus, GCF of Fractions is 46/1303753.Finally, GCF of Fractions for 4094/737, 5934/1769 is 46/1303753.