GCF of 2776/663, 8686/2887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2776/663, 8686/2887 i.e 2/1914081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2776/663, 8686/2887.
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 2776/663,8686/2887?
Given fractions are 2776/663,8686/2887
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 2776/663,8686/2887, numerators are 2776,8686
Denominators are 663,2887
The GCF of 2776,8686 is 2 .
LCM of 663,2887 is 1914081.
The greatest common factor of 2776/663,8686/2887 = [GCF of 2776,8686]/[LCM of 663,2887]= 2/1914081
Therefore, the GCF of 2776/663,8686/2887 is 2/1914081.
To find the highest common factor of 2776,8686, we have to find the factors of both numbers and list the highest common factor.
The factors of 2776 are 1, 2, 4, 8, 347, 694, 1388, 2776
The factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686
The HCF of 2776,8686 is 2.
Lets's calculate GCF of 2776,8686
| 2 | 2776, 8686 |
| 1388, 4343 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2776,8686 By Matching Biggest Common Factor Method
Now, list down the factors of 2776
:1,2,4,8,347,694,1388,2776
Now, list down the factors of 8686
:1,2,43,86,101,202,4343,8686
Greatest Common Factor
We found the factors 2776,8686 . The biggest common factor number is the GCF number.
So the greatest common factor 2776,8686 is 2.
Lets's calculate LCM of 663,2887
Given numbers has no common factors except 1. So, there LCM is their product i.e 1914081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1914081
Therefore, the GCF of Fractions 2776/663,8686/2887 is 2/1914081
Least Common Multiple of 663,2887 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 663,2887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,2887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,2887) x common factors =1 x 1 = 1
LCM(663,2887) = ( 663 × 2887 ) / 1
LCM(663,2887) = 1914081 / 1
LCM(663,2887) = 1914081
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FAQs on GCF of Fractions of 2776/663, 8686/2887
1. What is the HCF of 2776,8686?
The HCF of 2776,8686 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 2776/663, 8686/2887?
Answer: GCF of Numerators as per given numbers 2776/663, 8686/2887 is
GCF of Numerators i.e. for 2776,8686 is 2
LCM of denominators i.e. for 663,2887 is 1914081.
Thus, GCF of Fractions is 2/1914081.Finally, GCF of Fractions for 2776/663, 8686/2887 is 2/1914081.