GCF of 2806/780, 7065/2116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2806/780, 7065/2116 i.e 1/412620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2806/780, 7065/2116.
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 2806/780,7065/2116?
Given fractions are 2806/780,7065/2116
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 2806/780,7065/2116, numerators are 2806,7065
Denominators are 780,2116
The GCF of 2806,7065 is 1 .
LCM of 780,2116 is 412620.
The greatest common factor of 2806/780,7065/2116 = [GCF of 2806,7065]/[LCM of 780,2116]= 1/412620
Therefore, the GCF of 2806/780,7065/2116 is 1/412620.
To find the highest common factor of 2806,7065, we have to find the factors of both numbers and list the highest common factor.
The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806
The factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065
The HCF of 2806,7065 is 1.
Lets's calculate GCF of 2806,7065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2806,7065 By Matching Biggest Common Factor Method
Now, list down the factors of 2806
:1,2,23,46,61,122,1403,2806
Now, list down the factors of 7065
:1,3,5,9,15,45,157,471,785,1413,2355,7065
Greatest Common Factor
We found the factors 2806,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 2806,7065 is 1.
Lets's calculate LCM of 780,2116
| 2 | 780, 2116 |
| 2 | 390, 1058 |
| 195, 529 |
∴ So the LCM of the given numbers is 2 x 2 x 195 x 529 = 412620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412620
Therefore, the GCF of Fractions 2806/780,7065/2116 is 1/412620
Least Common Multiple of 780,2116 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 780,2116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,2116) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(780,2116) x common factors =4 x 1 = 4
LCM(780,2116) = ( 780 × 2116 ) / 4
LCM(780,2116) = 1650480 / 4
LCM(780,2116) = 412620
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FAQs on GCF of Fractions of 2806/780, 7065/2116
1. What is the HCF of 2806,7065?
The HCF of 2806,7065 is 1
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 2806/780, 7065/2116?
Answer: GCF of Numerators as per given numbers 2806/780, 7065/2116 is
GCF of Numerators i.e. for 2806,7065 is 1
LCM of denominators i.e. for 780,2116 is 412620.
Thus, GCF of Fractions is 1/412620.Finally, GCF of Fractions for 2806/780, 7065/2116 is 1/412620.