Use our free GCF of Fractions Calculator tool to compute the GCF of 900/80, 742/248 i.e 2/2480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/80, 742/248.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/80,742/248
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 900/80,742/248, numerators are 900,742
Denominators are 80,248
The GCF of 900,742 is 2 .
LCM of 80,248 is 2480.
The greatest common factor of 900/80,742/248 = [GCF of 900,742]/[LCM of 80,248]= 2/2480
Therefore, the GCF of 900/80,742/248 is 2/2480.
To find the highest common factor of 900,742, we have to find the factors of both numbers and list the highest common factor.
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 900,742 is 2.
Lets's calculate GCF of 900,742
2 | 900, 742 |
450, 371 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 900,742 . The biggest common factor number is the GCF number.
So the greatest common factor 900,742 is 2.
Lets's calculate LCM of 80,248
2 | 80, 248 |
2 | 40, 124 |
2 | 20, 62 |
10, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 31 = 2480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2480
Therefore, the GCF of Fractions 900/80,742/248 is 2/2480
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 80,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,248) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(80,248) x common factors =8 x 1 = 8
LCM(80,248) = ( 80 × 248 ) / 8
LCM(80,248) = 19840 / 8
LCM(80,248) = 2480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 900,742?
The HCF of 900,742 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 900/80, 742/248?
Answer: GCF of Numerators as per given numbers 900/80, 742/248 is
GCF of Numerators i.e. for 900,742 is 2
LCM of denominators i.e. for 80,248 is 2480.
Thus, GCF of Fractions is 2/2480.Finally, GCF of Fractions for 900/80, 742/248 is 2/2480.