Use our free GCF of Fractions Calculator tool to compute the GCF of 2516/375, 9227/2992 i.e 1/1122000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2516/375, 9227/2992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2516/375,9227/2992
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 2516/375,9227/2992, numerators are 2516,9227
Denominators are 375,2992
The GCF of 2516,9227 is 1 .
LCM of 375,2992 is 1122000.
The greatest common factor of 2516/375,9227/2992 = [GCF of 2516,9227]/[LCM of 375,2992]= 1/1122000
Therefore, the GCF of 2516/375,9227/2992 is 1/1122000.
To find the highest common factor of 2516,9227, we have to find the factors of both numbers and list the highest common factor.
The factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516
The factors of 9227 are 1, 9227
The HCF of 2516,9227 is 1.
Lets's calculate GCF of 2516,9227
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2516
:1,2,4,17,34,37,68,74,148,629,1258,2516
Now, list down the factors of 9227
:1,9227
Greatest Common Factor
We found the factors 2516,9227 . The biggest common factor number is the GCF number.
So the greatest common factor 2516,9227 is 1.
Lets's calculate LCM of 375,2992
Given numbers has no common factors except 1. So, there LCM is their product i.e 1122000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1122000
Therefore, the GCF of Fractions 2516/375,9227/2992 is 1/1122000
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 375,2992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,2992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,2992) x common factors =1 x 1 = 1
LCM(375,2992) = ( 375 × 2992 ) / 1
LCM(375,2992) = 1122000 / 1
LCM(375,2992) = 1122000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2516,9227?
The HCF of 2516,9227 is 1
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 2516/375, 9227/2992?
Answer: GCF of Numerators as per given numbers 2516/375, 9227/2992 is
GCF of Numerators i.e. for 2516,9227 is 1
LCM of denominators i.e. for 375,2992 is 1122000.
Thus, GCF of Fractions is 1/1122000.Finally, GCF of Fractions for 2516/375, 9227/2992 is 1/1122000.