Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7786/71,8539/346
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 7786,8539
Greatest Common Factor of Numerators i.e. GCF of 7786,8539 is 1 .
LCM of Denominators means LCM of 71,346 as per the given fractions.
LCM of 71,346 is 24566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7786,8539
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7786
List of positive integer factors of 7786 that divides 7786 without a remainder.
1,2,17,34,229,458,3893,7786
Factors of 8539
List of positive integer factors of 8539 that divides 8539 without a remainder.
1,8539
Greatest Common Factor
We found the factors 7786,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 7786,8539 is 1.
Lets's calculate LCM of 71,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 24566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24566
Therefore, the GCF of Fractions 7786/71,8539/346 is 1/24566
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 71,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,346) x common factors =1 x 1 = 1
LCM(71,346) = ( 71 × 346 ) / 1
LCM(71,346) = 24566 / 1
LCM(71,346) = 24566
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 7786/71, 8539/346?
Answer: GCF of Numerators as per given numbers 7786/71, 8539/346 is
GCF of Numerators i.e. for 7786,8539 is 1
LCM of denominators i.e. for 71,346 is 24566.
Thus, GCF of Fractions is 1/24566.Finally, GCF of Fractions for 7786/71, 8539/346 is 1/24566.