Use our free GCF of Fractions Calculator tool to compute the GCF of 342/383, 634/303 i.e 2/116049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 342/383, 634/303.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/383,634/303
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 342/383,634/303, numerators are 342,634
Denominators are 383,303
The GCF of 342,634 is 2 .
LCM of 383,303 is 116049.
The greatest common factor of 342/383,634/303 = [GCF of 342,634]/[LCM of 383,303]= 2/116049
Therefore, the GCF of 342/383,634/303 is 2/116049.
To find the highest common factor of 342,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The factors of 634 are 1, 2, 317, 634
The HCF of 342,634 is 2.
Lets's calculate GCF of 342,634
2 | 342, 634 |
171, 317 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 342,634 . The biggest common factor number is the GCF number.
So the greatest common factor 342,634 is 2.
Lets's calculate LCM of 383,303
Given numbers has no common factors except 1. So, there LCM is their product i.e 116049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116049
Therefore, the GCF of Fractions 342/383,634/303 is 2/116049
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 383,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,303) x common factors =1 x 1 = 1
LCM(383,303) = ( 383 × 303 ) / 1
LCM(383,303) = 116049 / 1
LCM(383,303) = 116049
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 342,634?
The HCF of 342,634 is 2
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 342/383, 634/303?
Answer: GCF of Numerators as per given numbers 342/383, 634/303 is
GCF of Numerators i.e. for 342,634 is 2
LCM of denominators i.e. for 383,303 is 116049.
Thus, GCF of Fractions is 2/116049.Finally, GCF of Fractions for 342/383, 634/303 is 2/116049.