Use our free GCF of Fractions Calculator tool to compute the GCF of 347/663, 761/403 i.e 1/20553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/663, 761/403.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 347/663,761/403
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 347/663,761/403, numerators are 347,761
Denominators are 663,403
The GCF of 347,761 is 1 .
LCM of 663,403 is 20553.
The greatest common factor of 347/663,761/403 = [GCF of 347,761]/[LCM of 663,403]= 1/20553
Therefore, the GCF of 347/663,761/403 is 1/20553.
To find the highest common factor of 347,761, we have to find the factors of both numbers and list the highest common factor.
The factors of 347 are 1, 347
The factors of 761 are 1, 761
The HCF of 347,761 is 1.
Lets's calculate GCF of 347,761
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 347
:1,347
Now, list down the factors of 761
:1,761
Greatest Common Factor
We found the factors 347,761 . The biggest common factor number is the GCF number.
So the greatest common factor 347,761 is 1.
Lets's calculate LCM of 663,403
13 | 663, 403 |
51, 31 |
∴ So the LCM of the given numbers is 13 x 51 x 31 = 20553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20553
Therefore, the GCF of Fractions 347/663,761/403 is 1/20553
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 663,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,403) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(663,403) x common factors =13 x 1 = 13
LCM(663,403) = ( 663 × 403 ) / 13
LCM(663,403) = 267189 / 13
LCM(663,403) = 20553
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 347,761?
The HCF of 347,761 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 347/663, 761/403?
Answer: GCF of Numerators as per given numbers 347/663, 761/403 is
GCF of Numerators i.e. for 347,761 is 1
LCM of denominators i.e. for 663,403 is 20553.
Thus, GCF of Fractions is 1/20553.Finally, GCF of Fractions for 347/663, 761/403 is 1/20553.