GCF of 7881/677, 2886/3554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7881/677, 2886/3554 i.e 111/2406058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7881/677, 2886/3554.
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 7881/677,2886/3554?
Given fractions are 7881/677,2886/3554
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 7881/677,2886/3554, numerators are 7881,2886
Denominators are 677,3554
The GCF of 7881,2886 is 111 .
LCM of 677,3554 is 2406058.
The greatest common factor of 7881/677,2886/3554 = [GCF of 7881,2886]/[LCM of 677,3554]= 111/2406058
Therefore, the GCF of 7881/677,2886/3554 is 111/2406058.
To find the highest common factor of 7881,2886, we have to find the factors of both numbers and list the highest common factor.
The factors of 7881 are 1, 3, 37, 71, 111, 213, 2627, 7881
The factors of 2886 are 1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 222, 481, 962, 1443, 2886
The HCF of 7881,2886 is 111.
Lets's calculate GCF of 7881,2886
| 3 | 7881, 2886 |
| 37 | 2627, 962 |
| 71, 26 |
∴ So the GCF of the given numbers is 3 x 37 = 111
Greatest Common Factor of 7881,2886 By Matching Biggest Common Factor Method
Now, list down the factors of 7881
:1,3,37,71,111,213,2627,7881
Now, list down the factors of 2886
:1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Greatest Common Factor
We found the factors 7881,2886 . The biggest common factor number is the GCF number.
So the greatest common factor 7881,2886 is 111.
Lets's calculate LCM of 677,3554
Given numbers has no common factors except 1. So, there LCM is their product i.e 2406058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/2406058
Therefore, the GCF of Fractions 7881/677,2886/3554 is 111/2406058
Least Common Multiple of 677,3554 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 677,3554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,3554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,3554) x common factors =1 x 1 = 1
LCM(677,3554) = ( 677 × 3554 ) / 1
LCM(677,3554) = 2406058 / 1
LCM(677,3554) = 2406058
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FAQs on GCF of Fractions of 7881/677, 2886/3554
1. What is the HCF of 7881,2886?
The HCF of 7881,2886 is 111
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 7881/677, 2886/3554?
Answer: GCF of Numerators as per given numbers 7881/677, 2886/3554 is
GCF of Numerators i.e. for 7881,2886 is 111
LCM of denominators i.e. for 677,3554 is 2406058.
Thus, GCF of Fractions is 111/2406058.Finally, GCF of Fractions for 7881/677, 2886/3554 is 111/2406058.