GCF of 2877/806, 8196/7833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2877/806, 8196/7833 i.e 3/6313398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2877/806, 8196/7833.
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 2877/806,8196/7833?
Given fractions are 2877/806,8196/7833
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 2877/806,8196/7833, numerators are 2877,8196
Denominators are 806,7833
The GCF of 2877,8196 is 3 .
LCM of 806,7833 is 6313398.
The greatest common factor of 2877/806,8196/7833 = [GCF of 2877,8196]/[LCM of 806,7833]= 3/6313398
Therefore, the GCF of 2877/806,8196/7833 is 3/6313398.
To find the highest common factor of 2877,8196, we have to find the factors of both numbers and list the highest common factor.
The factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877
The factors of 8196 are 1, 2, 3, 4, 6, 12, 683, 1366, 2049, 2732, 4098, 8196
The HCF of 2877,8196 is 3.
Lets's calculate GCF of 2877,8196
| 3 | 2877, 8196 |
| 959, 2732 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2877,8196 By Matching Biggest Common Factor Method
Now, list down the factors of 2877
:1,3,7,21,137,411,959,2877
Now, list down the factors of 8196
:1,2,3,4,6,12,683,1366,2049,2732,4098,8196
Greatest Common Factor
We found the factors 2877,8196 . The biggest common factor number is the GCF number.
So the greatest common factor 2877,8196 is 3.
Lets's calculate LCM of 806,7833
Given numbers has no common factors except 1. So, there LCM is their product i.e 6313398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6313398
Therefore, the GCF of Fractions 2877/806,8196/7833 is 3/6313398
Least Common Multiple of 806,7833 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 806,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,7833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,7833) x common factors =1 x 1 = 1
LCM(806,7833) = ( 806 × 7833 ) / 1
LCM(806,7833) = 6313398 / 1
LCM(806,7833) = 6313398
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FAQs on GCF of Fractions of 2877/806, 8196/7833
1. What is the HCF of 2877,8196?
The HCF of 2877,8196 is 3
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 2877/806, 8196/7833?
Answer: GCF of Numerators as per given numbers 2877/806, 8196/7833 is
GCF of Numerators i.e. for 2877,8196 is 3
LCM of denominators i.e. for 806,7833 is 6313398.
Thus, GCF of Fractions is 3/6313398.Finally, GCF of Fractions for 2877/806, 8196/7833 is 3/6313398.