Use our free GCF of Fractions Calculator tool to compute the GCF of 747/174, 498/950 i.e 249/82650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/174, 498/950.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/174,498/950
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 747/174,498/950, numerators are 747,498
Denominators are 174,950
The GCF of 747,498 is 249 .
LCM of 174,950 is 82650.
The greatest common factor of 747/174,498/950 = [GCF of 747,498]/[LCM of 174,950]= 249/82650
Therefore, the GCF of 747/174,498/950 is 249/82650.
To find the highest common factor of 747,498, we have to find the factors of both numbers and list the highest common factor.
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498
The HCF of 747,498 is 249.
Lets's calculate GCF of 747,498
3 | 747, 498 |
83 | 249, 166 |
3, 2 |
∴ So the GCF of the given numbers is 3 x 83 = 249
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 498
:1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 747,498 . The biggest common factor number is the GCF number.
So the greatest common factor 747,498 is 249.
Lets's calculate LCM of 174,950
2 | 174, 950 |
87, 475 |
∴ So the LCM of the given numbers is 2 x 87 x 475 = 82650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 249/82650
Therefore, the GCF of Fractions 747/174,498/950 is 249/82650
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 174,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,950) x common factors =2 x 1 = 2
LCM(174,950) = ( 174 × 950 ) / 2
LCM(174,950) = 165300 / 2
LCM(174,950) = 82650
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 747,498?
The HCF of 747,498 is 249
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 747/174, 498/950?
Answer: GCF of Numerators as per given numbers 747/174, 498/950 is
GCF of Numerators i.e. for 747,498 is 249
LCM of denominators i.e. for 174,950 is 82650.
Thus, GCF of Fractions is 249/82650.Finally, GCF of Fractions for 747/174, 498/950 is 249/82650.