GCF of 1350/448, 1332/3135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1350/448, 1332/3135 i.e 18/1404480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1350/448, 1332/3135.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1350/448,1332/3135?
Given fractions are 1350/448,1332/3135
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 1350/448,1332/3135, numerators are 1350,1332
Denominators are 448,3135
The GCF of 1350,1332 is 18 .
LCM of 448,3135 is 1404480.
The greatest common factor of 1350/448,1332/3135 = [GCF of 1350,1332]/[LCM of 448,3135]= 18/1404480
Therefore, the GCF of 1350/448,1332/3135 is 18/1404480.
To find the highest common factor of 1350,1332, we have to find the factors of both numbers and list the highest common factor.
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The factors of 1332 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332
The HCF of 1350,1332 is 18.
Lets's calculate GCF of 1350,1332
| 2 | 1350, 1332 |
| 3 | 675, 666 |
| 3 | 225, 222 |
| 75, 74 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 1350,1332 By Matching Biggest Common Factor Method
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Now, list down the factors of 1332
:1,2,3,4,6,9,12,18,36,37,74,111,148,222,333,444,666,1332
Greatest Common Factor
We found the factors 1350,1332 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,1332 is 18.
Lets's calculate LCM of 448,3135
Given numbers has no common factors except 1. So, there LCM is their product i.e 1404480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1404480
Therefore, the GCF of Fractions 1350/448,1332/3135 is 18/1404480
Least Common Multiple of 448,3135 with GCF Formula
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 448,3135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,3135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,3135) x common factors =1 x 1 = 1
LCM(448,3135) = ( 448 × 3135 ) / 1
LCM(448,3135) = 1404480 / 1
LCM(448,3135) = 1404480
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FAQs on GCF of Fractions of 1350/448, 1332/3135
1. What is the HCF of 1350,1332?
The HCF of 1350,1332 is 18
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 1350/448, 1332/3135?
Answer: GCF of Numerators as per given numbers 1350/448, 1332/3135 is
GCF of Numerators i.e. for 1350,1332 is 18
LCM of denominators i.e. for 448,3135 is 1404480.
Thus, GCF of Fractions is 18/1404480.Finally, GCF of Fractions for 1350/448, 1332/3135 is 18/1404480.