Use our free GCF of Fractions Calculator tool to compute the GCF of 79/865, 86/309 i.e 1/267285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/865, 86/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/865,86/309
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 79/865,86/309, numerators are 79,86
Denominators are 865,309
The GCF of 79,86 is 1 .
LCM of 865,309 is 267285.
The greatest common factor of 79/865,86/309 = [GCF of 79,86]/[LCM of 865,309]= 1/267285
Therefore, the GCF of 79/865,86/309 is 1/267285.
To find the highest common factor of 79,86, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 86 are 1, 2, 43, 86
The HCF of 79,86 is 1.
Lets's calculate GCF of 79,86
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 865,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 267285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267285
Therefore, the GCF of Fractions 79/865,86/309 is 1/267285
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 865,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,309) x common factors =1 x 1 = 1
LCM(865,309) = ( 865 × 309 ) / 1
LCM(865,309) = 267285 / 1
LCM(865,309) = 267285
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,86?
The HCF of 79,86 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 79/865, 86/309?
Answer: GCF of Numerators as per given numbers 79/865, 86/309 is
GCF of Numerators i.e. for 79,86 is 1
LCM of denominators i.e. for 865,309 is 267285.
Thus, GCF of Fractions is 1/267285.Finally, GCF of Fractions for 79/865, 86/309 is 1/267285.