GCF of 1450/902, 3184/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1450/902, 3184/388 i.e 2/174988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1450/902, 3184/388.
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 1450/902,3184/388?
Given fractions are 1450/902,3184/388
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 1450/902,3184/388, numerators are 1450,3184
Denominators are 902,388
The GCF of 1450,3184 is 2 .
LCM of 902,388 is 174988.
The greatest common factor of 1450/902,3184/388 = [GCF of 1450,3184]/[LCM of 902,388]= 2/174988
Therefore, the GCF of 1450/902,3184/388 is 2/174988.
To find the highest common factor of 1450,3184, we have to find the factors of both numbers and list the highest common factor.
The factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The HCF of 1450,3184 is 2.
Lets's calculate GCF of 1450,3184
| 2 | 1450, 3184 |
| 725, 1592 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1450,3184 By Matching Biggest Common Factor Method
Now, list down the factors of 1450
:1,2,5,10,25,29,50,58,145,290,725,1450
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 1450,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,3184 is 2.
Lets's calculate LCM of 902,388
| 2 | 902, 388 |
| 451, 194 |
∴ So the LCM of the given numbers is 2 x 451 x 194 = 174988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174988
Therefore, the GCF of Fractions 1450/902,3184/388 is 2/174988
Least Common Multiple of 902,388 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 902,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,388) x common factors =2 x 1 = 2
LCM(902,388) = ( 902 × 388 ) / 2
LCM(902,388) = 349976 / 2
LCM(902,388) = 174988
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FAQs on GCF of Fractions of 1450/902, 3184/388
1. What is the HCF of 1450,3184?
The HCF of 1450,3184 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 1450/902, 3184/388?
Answer: GCF of Numerators as per given numbers 1450/902, 3184/388 is
GCF of Numerators i.e. for 1450,3184 is 2
LCM of denominators i.e. for 902,388 is 174988.
Thus, GCF of Fractions is 2/174988.Finally, GCF of Fractions for 1450/902, 3184/388 is 2/174988.