Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 865/7461,547/1112
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 865,547
Greatest Common Factor of Numerators i.e. GCF of 865,547 is 1 .
LCM of Denominators means LCM of 7461,1112 as per the given fractions.
LCM of 7461,1112 is 8296632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 865,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 865,547 . The biggest common factor number is the GCF number.
So the greatest common factor 865,547 is 1.
Lets's calculate LCM of 7461,1112
Given numbers has no common factors except 1. So, there LCM is their product i.e 8296632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8296632
Therefore, the GCF of Fractions 865/7461,547/1112 is 1/8296632
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 7461,1112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7461,1112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7461,1112) x common factors =1 x 1 = 1
LCM(7461,1112) = ( 7461 × 1112 ) / 1
LCM(7461,1112) = 8296632 / 1
LCM(7461,1112) = 8296632
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 865/7461, 547/1112?
Answer: GCF of Numerators as per given numbers 865/7461, 547/1112 is
GCF of Numerators i.e. for 865,547 is 1
LCM of denominators i.e. for 7461,1112 is 8296632.
Thus, GCF of Fractions is 1/8296632.Finally, GCF of Fractions for 865/7461, 547/1112 is 1/8296632.