GCF of 2913/987, 2913/4850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2913/987, 2913/4850 i.e 2913/4786950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2913/987, 2913/4850.
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 2913/987,2913/4850?
Given fractions are 2913/987,2913/4850
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 2913/987,2913/4850, numerators are 2913,2913
Denominators are 987,4850
The GCF of 2913,2913 is 2913 .
LCM of 987,4850 is 4786950.
The greatest common factor of 2913/987,2913/4850 = [GCF of 2913,2913]/[LCM of 987,4850]= 2913/4786950
Therefore, the GCF of 2913/987,2913/4850 is 2913/4786950.
To find the highest common factor of 2913,2913, we have to find the factors of both numbers and list the highest common factor.
The factors of 2913 are 1, 3, 971, 2913
The factors of 2913 are 1, 3, 971, 2913
The HCF of 2913,2913 is 2913.
Lets's calculate GCF of 2913,2913
| 3 | 2913, 2913 |
| 971 | 971, 971 |
| 1, 1 |
∴ So the GCF of the given numbers is 3 x 971 = 2913
Greatest Common Factor of 2913,2913 By Matching Biggest Common Factor Method
Now, list down the factors of 2913
:1,3,971,2913
Now, list down the factors of 2913
:1,3,971,2913
Greatest Common Factor
We found the factors 2913,2913 . The biggest common factor number is the GCF number.
So the greatest common factor 2913,2913 is 2913.
Lets's calculate LCM of 987,4850
Given numbers has no common factors except 1. So, there LCM is their product i.e 4786950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2913/4786950
Therefore, the GCF of Fractions 2913/987,2913/4850 is 2913/4786950
Least Common Multiple of 987,4850 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 987,4850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,4850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(987,4850) x common factors =1 x 1 = 1
LCM(987,4850) = ( 987 × 4850 ) / 1
LCM(987,4850) = 4786950 / 1
LCM(987,4850) = 4786950
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2913/987, 2913/4850
1. What is the HCF of 2913,2913?
The HCF of 2913,2913 is 2913
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 2913/987, 2913/4850?
Answer: GCF of Numerators as per given numbers 2913/987, 2913/4850 is
GCF of Numerators i.e. for 2913,2913 is 2913
LCM of denominators i.e. for 987,4850 is 4786950.
Thus, GCF of Fractions is 2913/4786950.Finally, GCF of Fractions for 2913/987, 2913/4850 is 2913/4786950.