GCF of 2079/930, 8218/3978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2079/930, 8218/3978 i.e 7/616590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2079/930, 8218/3978.
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 2079/930,8218/3978?
Given fractions are 2079/930,8218/3978
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 2079/930,8218/3978, numerators are 2079,8218
Denominators are 930,3978
The GCF of 2079,8218 is 7 .
LCM of 930,3978 is 616590.
The greatest common factor of 2079/930,8218/3978 = [GCF of 2079,8218]/[LCM of 930,3978]= 7/616590
Therefore, the GCF of 2079/930,8218/3978 is 7/616590.
To find the highest common factor of 2079,8218, we have to find the factors of both numbers and list the highest common factor.
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218
The HCF of 2079,8218 is 7.
Lets's calculate GCF of 2079,8218
| 7 | 2079, 8218 |
| 297, 1174 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2079,8218 By Matching Biggest Common Factor Method
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Now, list down the factors of 8218
:1,2,7,14,587,1174,4109,8218
Greatest Common Factor
We found the factors 2079,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 2079,8218 is 7.
Lets's calculate LCM of 930,3978
| 2 | 930, 3978 |
| 3 | 465, 1989 |
| 155, 663 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 663 = 616590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/616590
Therefore, the GCF of Fractions 2079/930,8218/3978 is 7/616590
Least Common Multiple of 930,3978 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 930,3978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,3978) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,3978) x common factors =6 x 1 = 6
LCM(930,3978) = ( 930 × 3978 ) / 6
LCM(930,3978) = 3699540 / 6
LCM(930,3978) = 616590
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FAQs on GCF of Fractions of 2079/930, 8218/3978
1. What is the HCF of 2079,8218?
The HCF of 2079,8218 is 7
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 2079/930, 8218/3978?
Answer: GCF of Numerators as per given numbers 2079/930, 8218/3978 is
GCF of Numerators i.e. for 2079,8218 is 7
LCM of denominators i.e. for 930,3978 is 616590.
Thus, GCF of Fractions is 7/616590.Finally, GCF of Fractions for 2079/930, 8218/3978 is 7/616590.