GCF of 2871/766, 4455/2982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2871/766, 4455/2982 i.e 99/1142106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2871/766, 4455/2982.
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 2871/766,4455/2982?
Given fractions are 2871/766,4455/2982
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 2871/766,4455/2982, numerators are 2871,4455
Denominators are 766,2982
The GCF of 2871,4455 is 99 .
LCM of 766,2982 is 1142106.
The greatest common factor of 2871/766,4455/2982 = [GCF of 2871,4455]/[LCM of 766,2982]= 99/1142106
Therefore, the GCF of 2871/766,4455/2982 is 99/1142106.
To find the highest common factor of 2871,4455, we have to find the factors of both numbers and list the highest common factor.
The factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871
The factors of 4455 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 297, 405, 495, 891, 1485, 4455
The HCF of 2871,4455 is 99.
Lets's calculate GCF of 2871,4455
| 3 | 2871, 4455 |
| 3 | 957, 1485 |
| 11 | 319, 495 |
| 29, 45 |
∴ So the GCF of the given numbers is 3 x 3 x 11 = 99
Greatest Common Factor of 2871,4455 By Matching Biggest Common Factor Method
Now, list down the factors of 2871
:1,3,9,11,29,33,87,99,261,319,957,2871
Now, list down the factors of 4455
:1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455
Greatest Common Factor
We found the factors 2871,4455 . The biggest common factor number is the GCF number.
So the greatest common factor 2871,4455 is 99.
Lets's calculate LCM of 766,2982
| 2 | 766, 2982 |
| 383, 1491 |
∴ So the LCM of the given numbers is 2 x 383 x 1491 = 1142106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 99/1142106
Therefore, the GCF of Fractions 2871/766,4455/2982 is 99/1142106
Least Common Multiple of 766,2982 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 766,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,2982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,2982) x common factors =2 x 1 = 2
LCM(766,2982) = ( 766 × 2982 ) / 2
LCM(766,2982) = 2284212 / 2
LCM(766,2982) = 1142106
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FAQs on GCF of Fractions of 2871/766, 4455/2982
1. What is the HCF of 2871,4455?
The HCF of 2871,4455 is 99
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 2871/766, 4455/2982?
Answer: GCF of Numerators as per given numbers 2871/766, 4455/2982 is
GCF of Numerators i.e. for 2871,4455 is 99
LCM of denominators i.e. for 766,2982 is 1142106.
Thus, GCF of Fractions is 99/1142106.Finally, GCF of Fractions for 2871/766, 4455/2982 is 99/1142106.