GCF of 9082/195, 4250/4206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9082/195, 4250/4206 i.e 2/273390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9082/195, 4250/4206.
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 9082/195,4250/4206?
Given fractions are 9082/195,4250/4206
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 9082/195,4250/4206, numerators are 9082,4250
Denominators are 195,4206
The GCF of 9082,4250 is 2 .
LCM of 195,4206 is 273390.
The greatest common factor of 9082/195,4250/4206 = [GCF of 9082,4250]/[LCM of 195,4206]= 2/273390
Therefore, the GCF of 9082/195,4250/4206 is 2/273390.
To find the highest common factor of 9082,4250, we have to find the factors of both numbers and list the highest common factor.
The factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082
The factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250
The HCF of 9082,4250 is 2.
Lets's calculate GCF of 9082,4250
| 2 | 9082, 4250 |
| 4541, 2125 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9082,4250 By Matching Biggest Common Factor Method
Now, list down the factors of 9082
:1,2,19,38,239,478,4541,9082
Now, list down the factors of 4250
:1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250
Greatest Common Factor
We found the factors 9082,4250 . The biggest common factor number is the GCF number.
So the greatest common factor 9082,4250 is 2.
Lets's calculate LCM of 195,4206
| 3 | 195, 4206 |
| 65, 1402 |
∴ So the LCM of the given numbers is 3 x 65 x 1402 = 273390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/273390
Therefore, the GCF of Fractions 9082/195,4250/4206 is 2/273390
Least Common Multiple of 195,4206 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 195,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,4206) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,4206) x common factors =3 x 1 = 3
LCM(195,4206) = ( 195 × 4206 ) / 3
LCM(195,4206) = 820170 / 3
LCM(195,4206) = 273390
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FAQs on GCF of Fractions of 9082/195, 4250/4206
1. What is the HCF of 9082,4250?
The HCF of 9082,4250 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 9082/195, 4250/4206?
Answer: GCF of Numerators as per given numbers 9082/195, 4250/4206 is
GCF of Numerators i.e. for 9082,4250 is 2
LCM of denominators i.e. for 195,4206 is 273390.
Thus, GCF of Fractions is 2/273390.Finally, GCF of Fractions for 9082/195, 4250/4206 is 2/273390.