Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6502/15,7715/751
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 6502,7715
Greatest Common Factor of Numerators i.e. GCF of 6502,7715 is 1 .
LCM of Denominators means LCM of 15,751 as per the given fractions.
LCM of 15,751 is 11265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6502,7715
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6502
List of positive integer factors of 6502 that divides 6502 without a remainder.
1,2,3251,6502
Factors of 7715
List of positive integer factors of 7715 that divides 7715 without a remainder.
1,5,1543,7715
Greatest Common Factor
We found the factors 6502,7715 . The biggest common factor number is the GCF number.
So the greatest common factor 6502,7715 is 1.
Lets's calculate LCM of 15,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 11265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11265
Therefore, the GCF of Fractions 6502/15,7715/751 is 1/11265
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 15,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,751) x common factors =1 x 1 = 1
LCM(15,751) = ( 15 × 751 ) / 1
LCM(15,751) = 11265 / 1
LCM(15,751) = 11265
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 6502/15, 7715/751?
Answer: GCF of Numerators as per given numbers 6502/15, 7715/751 is
GCF of Numerators i.e. for 6502,7715 is 1
LCM of denominators i.e. for 15,751 is 11265.
Thus, GCF of Fractions is 1/11265.Finally, GCF of Fractions for 6502/15, 7715/751 is 1/11265.