GCF of 8250/138, 3512/4191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8250/138, 3512/4191 i.e 2/192786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8250/138, 3512/4191.
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 8250/138,3512/4191?
Given fractions are 8250/138,3512/4191
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 8250/138,3512/4191, numerators are 8250,3512
Denominators are 138,4191
The GCF of 8250,3512 is 2 .
LCM of 138,4191 is 192786.
The greatest common factor of 8250/138,3512/4191 = [GCF of 8250,3512]/[LCM of 138,4191]= 2/192786
Therefore, the GCF of 8250/138,3512/4191 is 2/192786.
To find the highest common factor of 8250,3512, we have to find the factors of both numbers and list the highest common factor.
The factors of 8250 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125, 8250
The factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512
The HCF of 8250,3512 is 2.
Lets's calculate GCF of 8250,3512
| 2 | 8250, 3512 |
| 4125, 1756 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8250,3512 By Matching Biggest Common Factor Method
Now, list down the factors of 8250
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250
Now, list down the factors of 3512
:1,2,4,8,439,878,1756,3512
Greatest Common Factor
We found the factors 8250,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 8250,3512 is 2.
Lets's calculate LCM of 138,4191
| 3 | 138, 4191 |
| 46, 1397 |
∴ So the LCM of the given numbers is 3 x 46 x 1397 = 192786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192786
Therefore, the GCF of Fractions 8250/138,3512/4191 is 2/192786
Least Common Multiple of 138,4191 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 138,4191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,4191) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(138,4191) x common factors =3 x 1 = 3
LCM(138,4191) = ( 138 × 4191 ) / 3
LCM(138,4191) = 578358 / 3
LCM(138,4191) = 192786
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FAQs on GCF of Fractions of 8250/138, 3512/4191
1. What is the HCF of 8250,3512?
The HCF of 8250,3512 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 8250/138, 3512/4191?
Answer: GCF of Numerators as per given numbers 8250/138, 3512/4191 is
GCF of Numerators i.e. for 8250,3512 is 2
LCM of denominators i.e. for 138,4191 is 192786.
Thus, GCF of Fractions is 2/192786.Finally, GCF of Fractions for 8250/138, 3512/4191 is 2/192786.