Use our free GCF of Fractions Calculator tool to compute the GCF of 9/50, 39/25, 98/454, 441/707 i.e 1/8024450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/50, 39/25, 98/454, 441/707.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/50,39/25,98/454,441/707
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 9/50,39/25,98/454,441/707, numerators are 9,39,98,441
Denominators are 50,25,454,707
The GCF of 9,39,98,441 is 1 .
LCM of 50,25,454,707 is 8024450.
The greatest common factor of 9/50,39/25,98/454,441/707 = [GCF of 9,39,98,441]/[LCM of 50,25,454,707]= 1/8024450
Therefore, the GCF of 9/50,39/25,98/454,441/707 is 1/8024450.
To find the highest common factor of 9,39,98,441, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 39 are 1, 3, 13, 39
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The HCF of 9,39,98,441 is 1.
Lets's calculate GCF of 9,39,98,441
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 9,39,98,441 . The biggest common factor number is the GCF number.
So the greatest common factor 9,39,98,441 is 1.
Lets's calculate LCM of 50,25,454,707
2 | 50, 25, 454, 707 |
5 | 25, 25, 227, 707 |
5 | 5, 5, 227, 707 |
1, 1, 227, 707 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 1 x 1 x 227 x 707 = 8024450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8024450
Therefore, the GCF of Fractions 9/50,39/25,98/454,441/707 is 1/8024450
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 50,25,454,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,25,454,707) = 1
common factors(in case of two or more numbers have common factors) = 50
GCF(50,25,454,707) x common factors =1 x 50 = 50
LCM(50,25,454,707) = ( 50 × 25 × 454 × 707 ) / 50
LCM(50,25,454,707) = 401222500 / 50
LCM(50,25,454,707) = 8024450
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,39,98,441?
The HCF of 9,39,98,441 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 9/50, 39/25, 98/454, 441/707?
Answer: GCF of Numerators as per given numbers 9/50, 39/25, 98/454, 441/707 is
GCF of Numerators i.e. for 9,39,98,441 is 1
LCM of denominators i.e. for 50,25,454,707 is 8024450.
Thus, GCF of Fractions is 1/8024450.Finally, GCF of Fractions for 9/50, 39/25, 98/454, 441/707 is 1/8024450.