Use our free GCF of Fractions Calculator tool to compute the GCF of 743/318, 703/334 i.e 1/53106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 743/318, 703/334.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 743/318,703/334
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 743/318,703/334, numerators are 743,703
Denominators are 318,334
The GCF of 743,703 is 1 .
LCM of 318,334 is 53106.
The greatest common factor of 743/318,703/334 = [GCF of 743,703]/[LCM of 318,334]= 1/53106
Therefore, the GCF of 743/318,703/334 is 1/53106.
To find the highest common factor of 743,703, we have to find the factors of both numbers and list the highest common factor.
The factors of 743 are 1, 743
The factors of 703 are 1, 19, 37, 703
The HCF of 743,703 is 1.
Lets's calculate GCF of 743,703
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 743
:1,743
Now, list down the factors of 703
:1,19,37,703
Greatest Common Factor
We found the factors 743,703 . The biggest common factor number is the GCF number.
So the greatest common factor 743,703 is 1.
Lets's calculate LCM of 318,334
2 | 318, 334 |
159, 167 |
∴ So the LCM of the given numbers is 2 x 159 x 167 = 53106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53106
Therefore, the GCF of Fractions 743/318,703/334 is 1/53106
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 318,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(318,334) x common factors =2 x 1 = 2
LCM(318,334) = ( 318 × 334 ) / 2
LCM(318,334) = 106212 / 2
LCM(318,334) = 53106
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 743,703?
The HCF of 743,703 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 743/318, 703/334?
Answer: GCF of Numerators as per given numbers 743/318, 703/334 is
GCF of Numerators i.e. for 743,703 is 1
LCM of denominators i.e. for 318,334 is 53106.
Thus, GCF of Fractions is 1/53106.Finally, GCF of Fractions for 743/318, 703/334 is 1/53106.