GCF of 8270/609, 2206/981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8270/609, 2206/981 i.e 2/199143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8270/609, 2206/981.
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 8270/609,2206/981?
Given fractions are 8270/609,2206/981
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 8270/609,2206/981, numerators are 8270,2206
Denominators are 609,981
The GCF of 8270,2206 is 2 .
LCM of 609,981 is 199143.
The greatest common factor of 8270/609,2206/981 = [GCF of 8270,2206]/[LCM of 609,981]= 2/199143
Therefore, the GCF of 8270/609,2206/981 is 2/199143.
To find the highest common factor of 8270,2206, we have to find the factors of both numbers and list the highest common factor.
The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270
The factors of 2206 are 1, 2, 1103, 2206
The HCF of 8270,2206 is 2.
Lets's calculate GCF of 8270,2206
| 2 | 8270, 2206 |
| 4135, 1103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8270,2206 By Matching Biggest Common Factor Method
Now, list down the factors of 8270
:1,2,5,10,827,1654,4135,8270
Now, list down the factors of 2206
:1,2,1103,2206
Greatest Common Factor
We found the factors 8270,2206 . The biggest common factor number is the GCF number.
So the greatest common factor 8270,2206 is 2.
Lets's calculate LCM of 609,981
| 3 | 609, 981 |
| 203, 327 |
∴ So the LCM of the given numbers is 3 x 203 x 327 = 199143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199143
Therefore, the GCF of Fractions 8270/609,2206/981 is 2/199143
Least Common Multiple of 609,981 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 609,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(609,981) x common factors =3 x 1 = 3
LCM(609,981) = ( 609 × 981 ) / 3
LCM(609,981) = 597429 / 3
LCM(609,981) = 199143
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FAQs on GCF of Fractions of 8270/609, 2206/981
1. What is the HCF of 8270,2206?
The HCF of 8270,2206 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 8270/609, 2206/981?
Answer: GCF of Numerators as per given numbers 8270/609, 2206/981 is
GCF of Numerators i.e. for 8270,2206 is 2
LCM of denominators i.e. for 609,981 is 199143.
Thus, GCF of Fractions is 2/199143.Finally, GCF of Fractions for 8270/609, 2206/981 is 2/199143.