GCF of 8078/806, 1640/787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8078/806, 1640/787 i.e 2/634322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8078/806, 1640/787.
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 8078/806,1640/787?
Given fractions are 8078/806,1640/787
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 8078/806,1640/787, numerators are 8078,1640
Denominators are 806,787
The GCF of 8078,1640 is 2 .
LCM of 806,787 is 634322.
The greatest common factor of 8078/806,1640/787 = [GCF of 8078,1640]/[LCM of 806,787]= 2/634322
Therefore, the GCF of 8078/806,1640/787 is 2/634322.
To find the highest common factor of 8078,1640, we have to find the factors of both numbers and list the highest common factor.
The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078
The factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640
The HCF of 8078,1640 is 2.
Lets's calculate GCF of 8078,1640
| 2 | 8078, 1640 |
| 4039, 820 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8078,1640 By Matching Biggest Common Factor Method
Now, list down the factors of 8078
:1,2,7,14,577,1154,4039,8078
Now, list down the factors of 1640
:1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Greatest Common Factor
We found the factors 8078,1640 . The biggest common factor number is the GCF number.
So the greatest common factor 8078,1640 is 2.
Lets's calculate LCM of 806,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 634322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/634322
Therefore, the GCF of Fractions 8078/806,1640/787 is 2/634322
Least Common Multiple of 806,787 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 806,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,787) x common factors =1 x 1 = 1
LCM(806,787) = ( 806 × 787 ) / 1
LCM(806,787) = 634322 / 1
LCM(806,787) = 634322
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FAQs on GCF of Fractions of 8078/806, 1640/787
1. What is the HCF of 8078,1640?
The HCF of 8078,1640 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 8078/806, 1640/787?
Answer: GCF of Numerators as per given numbers 8078/806, 1640/787 is
GCF of Numerators i.e. for 8078,1640 is 2
LCM of denominators i.e. for 806,787 is 634322.
Thus, GCF of Fractions is 2/634322.Finally, GCF of Fractions for 8078/806, 1640/787 is 2/634322.