GCF of 2337/971, 4807/871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2337/971, 4807/871 i.e 19/845741 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2337/971, 4807/871.
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 2337/971,4807/871?
Given fractions are 2337/971,4807/871
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 2337/971,4807/871, numerators are 2337,4807
Denominators are 971,871
The GCF of 2337,4807 is 19 .
LCM of 971,871 is 845741.
The greatest common factor of 2337/971,4807/871 = [GCF of 2337,4807]/[LCM of 971,871]= 19/845741
Therefore, the GCF of 2337/971,4807/871 is 19/845741.
To find the highest common factor of 2337,4807, we have to find the factors of both numbers and list the highest common factor.
The factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337
The factors of 4807 are 1, 11, 19, 23, 209, 253, 437, 4807
The HCF of 2337,4807 is 19.
Lets's calculate GCF of 2337,4807
| 19 | 2337, 4807 |
| 123, 253 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 2337,4807 By Matching Biggest Common Factor Method
Now, list down the factors of 2337
:1,3,19,41,57,123,779,2337
Now, list down the factors of 4807
:1,11,19,23,209,253,437,4807
Greatest Common Factor
We found the factors 2337,4807 . The biggest common factor number is the GCF number.
So the greatest common factor 2337,4807 is 19.
Lets's calculate LCM of 971,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 845741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/845741
Therefore, the GCF of Fractions 2337/971,4807/871 is 19/845741
Least Common Multiple of 971,871 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 971,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,871) x common factors =1 x 1 = 1
LCM(971,871) = ( 971 × 871 ) / 1
LCM(971,871) = 845741 / 1
LCM(971,871) = 845741
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2337/971, 4807/871
1. What is the HCF of 2337,4807?
The HCF of 2337,4807 is 19
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 2337/971, 4807/871?
Answer: GCF of Numerators as per given numbers 2337/971, 4807/871 is
GCF of Numerators i.e. for 2337,4807 is 19
LCM of denominators i.e. for 971,871 is 845741.
Thus, GCF of Fractions is 19/845741.Finally, GCF of Fractions for 2337/971, 4807/871 is 19/845741.