Use our free GCF of Fractions Calculator tool to compute the GCF of 6864/230, 2753/7261 i.e 1/1670030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6864/230, 2753/7261.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6864/230,2753/7261
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 6864/230,2753/7261, numerators are 6864,2753
Denominators are 230,7261
The GCF of 6864,2753 is 1 .
LCM of 230,7261 is 1670030.
The greatest common factor of 6864/230,2753/7261 = [GCF of 6864,2753]/[LCM of 230,7261]= 1/1670030
Therefore, the GCF of 6864/230,2753/7261 is 1/1670030.
To find the highest common factor of 6864,2753, we have to find the factors of both numbers and list the highest common factor.
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The factors of 2753 are 1, 2753
The HCF of 6864,2753 is 1.
Lets's calculate GCF of 6864,2753
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Now, list down the factors of 2753
:1,2753
Greatest Common Factor
We found the factors 6864,2753 . The biggest common factor number is the GCF number.
So the greatest common factor 6864,2753 is 1.
Lets's calculate LCM of 230,7261
Given numbers has no common factors except 1. So, there LCM is their product i.e 1670030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1670030
Therefore, the GCF of Fractions 6864/230,2753/7261 is 1/1670030
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 230,7261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,7261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,7261) x common factors =1 x 1 = 1
LCM(230,7261) = ( 230 × 7261 ) / 1
LCM(230,7261) = 1670030 / 1
LCM(230,7261) = 1670030
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6864,2753?
The HCF of 6864,2753 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 6864/230, 2753/7261?
Answer: GCF of Numerators as per given numbers 6864/230, 2753/7261 is
GCF of Numerators i.e. for 6864,2753 is 1
LCM of denominators i.e. for 230,7261 is 1670030.
Thus, GCF of Fractions is 1/1670030.Finally, GCF of Fractions for 6864/230, 2753/7261 is 1/1670030.