Use our free GCF of Fractions Calculator tool to compute the GCF of 7696/230, 2725/8769 i.e 1/2016870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7696/230, 2725/8769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7696/230,2725/8769
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 7696/230,2725/8769, numerators are 7696,2725
Denominators are 230,8769
The GCF of 7696,2725 is 1 .
LCM of 230,8769 is 2016870.
The greatest common factor of 7696/230,2725/8769 = [GCF of 7696,2725]/[LCM of 230,8769]= 1/2016870
Therefore, the GCF of 7696/230,2725/8769 is 1/2016870.
To find the highest common factor of 7696,2725, we have to find the factors of both numbers and list the highest common factor.
The factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696
The factors of 2725 are 1, 5, 25, 109, 545, 2725
The HCF of 7696,2725 is 1.
Lets's calculate GCF of 7696,2725
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7696
:1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696
Now, list down the factors of 2725
:1,5,25,109,545,2725
Greatest Common Factor
We found the factors 7696,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 7696,2725 is 1.
Lets's calculate LCM of 230,8769
Given numbers has no common factors except 1. So, there LCM is their product i.e 2016870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2016870
Therefore, the GCF of Fractions 7696/230,2725/8769 is 1/2016870
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 230,8769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,8769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,8769) x common factors =1 x 1 = 1
LCM(230,8769) = ( 230 × 8769 ) / 1
LCM(230,8769) = 2016870 / 1
LCM(230,8769) = 2016870
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7696,2725?
The HCF of 7696,2725 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 7696/230, 2725/8769?
Answer: GCF of Numerators as per given numbers 7696/230, 2725/8769 is
GCF of Numerators i.e. for 7696,2725 is 1
LCM of denominators i.e. for 230,8769 is 2016870.
Thus, GCF of Fractions is 1/2016870.Finally, GCF of Fractions for 7696/230, 2725/8769 is 1/2016870.