GCF of 4401/866, 5067/2936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4401/866, 5067/2936 i.e 9/1271288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4401/866, 5067/2936.
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 4401/866,5067/2936?
Given fractions are 4401/866,5067/2936
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 4401/866,5067/2936, numerators are 4401,5067
Denominators are 866,2936
The GCF of 4401,5067 is 9 .
LCM of 866,2936 is 1271288.
The greatest common factor of 4401/866,5067/2936 = [GCF of 4401,5067]/[LCM of 866,2936]= 9/1271288
Therefore, the GCF of 4401/866,5067/2936 is 9/1271288.
To find the highest common factor of 4401,5067, we have to find the factors of both numbers and list the highest common factor.
The factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401
The factors of 5067 are 1, 3, 9, 563, 1689, 5067
The HCF of 4401,5067 is 9.
Lets's calculate GCF of 4401,5067
| 3 | 4401, 5067 |
| 3 | 1467, 1689 |
| 489, 563 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4401,5067 By Matching Biggest Common Factor Method
Now, list down the factors of 4401
:1,3,9,27,163,489,1467,4401
Now, list down the factors of 5067
:1,3,9,563,1689,5067
Greatest Common Factor
We found the factors 4401,5067 . The biggest common factor number is the GCF number.
So the greatest common factor 4401,5067 is 9.
Lets's calculate LCM of 866,2936
| 2 | 866, 2936 |
| 433, 1468 |
∴ So the LCM of the given numbers is 2 x 433 x 1468 = 1271288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1271288
Therefore, the GCF of Fractions 4401/866,5067/2936 is 9/1271288
Least Common Multiple of 866,2936 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 866,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(866,2936) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(866,2936) x common factors =2 x 1 = 2
LCM(866,2936) = ( 866 × 2936 ) / 2
LCM(866,2936) = 2542576 / 2
LCM(866,2936) = 1271288
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FAQs on GCF of Fractions of 4401/866, 5067/2936
1. What is the HCF of 4401,5067?
The HCF of 4401,5067 is 9
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 4401/866, 5067/2936?
Answer: GCF of Numerators as per given numbers 4401/866, 5067/2936 is
GCF of Numerators i.e. for 4401,5067 is 9
LCM of denominators i.e. for 866,2936 is 1271288.
Thus, GCF of Fractions is 9/1271288.Finally, GCF of Fractions for 4401/866, 5067/2936 is 9/1271288.