Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1094/966,6543/893
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 1094,6543
Greatest Common Factor of Numerators i.e. GCF of 1094,6543 is 1 .
LCM of Denominators means LCM of 966,893 as per the given fractions.
LCM of 966,893 is 862638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1094,6543
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1094
List of positive integer factors of 1094 that divides 1094 without a remainder.
1,2,547,1094
Factors of 6543
List of positive integer factors of 6543 that divides 6543 without a remainder.
1,3,9,727,2181,6543
Greatest Common Factor
We found the factors 1094,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 1094,6543 is 1.
Lets's calculate LCM of 966,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 862638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/862638
Therefore, the GCF of Fractions 1094/966,6543/893 is 1/862638
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 966,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,893) x common factors =1 x 1 = 1
LCM(966,893) = ( 966 × 893 ) / 1
LCM(966,893) = 862638 / 1
LCM(966,893) = 862638
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 1094/966, 6543/893?
Answer: GCF of Numerators as per given numbers 1094/966, 6543/893 is
GCF of Numerators i.e. for 1094,6543 is 1
LCM of denominators i.e. for 966,893 is 862638.
Thus, GCF of Fractions is 1/862638.Finally, GCF of Fractions for 1094/966, 6543/893 is 1/862638.