Use our free GCF of Fractions Calculator tool to compute the GCF of 2751/274, 4379/8969 i.e 1/2457506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2751/274, 4379/8969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2751/274,4379/8969
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 2751/274,4379/8969, numerators are 2751,4379
Denominators are 274,8969
The GCF of 2751,4379 is 1 .
LCM of 274,8969 is 2457506.
The greatest common factor of 2751/274,4379/8969 = [GCF of 2751,4379]/[LCM of 274,8969]= 1/2457506
Therefore, the GCF of 2751/274,4379/8969 is 1/2457506.
To find the highest common factor of 2751,4379, we have to find the factors of both numbers and list the highest common factor.
The factors of 2751 are 1, 3, 7, 21, 131, 393, 917, 2751
The factors of 4379 are 1, 29, 151, 4379
The HCF of 2751,4379 is 1.
Lets's calculate GCF of 2751,4379
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2751
:1,3,7,21,131,393,917,2751
Now, list down the factors of 4379
:1,29,151,4379
Greatest Common Factor
We found the factors 2751,4379 . The biggest common factor number is the GCF number.
So the greatest common factor 2751,4379 is 1.
Lets's calculate LCM of 274,8969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2457506
Therefore, the GCF of Fractions 2751/274,4379/8969 is 1/2457506
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 274,8969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,8969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,8969) x common factors =1 x 1 = 1
LCM(274,8969) = ( 274 × 8969 ) / 1
LCM(274,8969) = 2457506 / 1
LCM(274,8969) = 2457506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2751,4379?
The HCF of 2751,4379 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 2751/274, 4379/8969?
Answer: GCF of Numerators as per given numbers 2751/274, 4379/8969 is
GCF of Numerators i.e. for 2751,4379 is 1
LCM of denominators i.e. for 274,8969 is 2457506.
Thus, GCF of Fractions is 1/2457506.Finally, GCF of Fractions for 2751/274, 4379/8969 is 1/2457506.