Use our free GCF of Fractions Calculator tool to compute the GCF of 1449/948, 3150/202 i.e 63/95748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1449/948, 3150/202.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1449/948,3150/202
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 1449/948,3150/202, numerators are 1449,3150
Denominators are 948,202
The GCF of 1449,3150 is 63 .
LCM of 948,202 is 95748.
The greatest common factor of 1449/948,3150/202 = [GCF of 1449,3150]/[LCM of 948,202]= 63/95748
Therefore, the GCF of 1449/948,3150/202 is 63/95748.
To find the highest common factor of 1449,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 1449,3150 is 63.
Lets's calculate GCF of 1449,3150
3 | 1449, 3150 |
3 | 483, 1050 |
7 | 161, 350 |
23, 50 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Now, list down the factors of 1449
:1,3,7,9,21,23,63,69,161,207,483,1449
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 1449,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 1449,3150 is 63.
Lets's calculate LCM of 948,202
2 | 948, 202 |
474, 101 |
∴ So the LCM of the given numbers is 2 x 474 x 101 = 95748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/95748
Therefore, the GCF of Fractions 1449/948,3150/202 is 63/95748
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 948,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(948,202) x common factors =2 x 1 = 2
LCM(948,202) = ( 948 × 202 ) / 2
LCM(948,202) = 191496 / 2
LCM(948,202) = 95748
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1449,3150?
The HCF of 1449,3150 is 63
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 1449/948, 3150/202?
Answer: GCF of Numerators as per given numbers 1449/948, 3150/202 is
GCF of Numerators i.e. for 1449,3150 is 63
LCM of denominators i.e. for 948,202 is 95748.
Thus, GCF of Fractions is 63/95748.Finally, GCF of Fractions for 1449/948, 3150/202 is 63/95748.