Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 266/739,2353/582
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 266,2353
Greatest Common Factor of Numerators i.e. GCF of 266,2353 is 1 .
LCM of Denominators means LCM of 739,582 as per the given fractions.
LCM of 739,582 is 430098 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 266,2353
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 2353
List of positive integer factors of 2353 that divides 2353 without a remainder.
1,13,181,2353
Greatest Common Factor
We found the factors 266,2353 . The biggest common factor number is the GCF number.
So the greatest common factor 266,2353 is 1.
Lets's calculate LCM of 739,582
Given numbers has no common factors except 1. So, there LCM is their product i.e 430098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430098
Therefore, the GCF of Fractions 266/739,2353/582 is 1/430098
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 739,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,582) x common factors =1 x 1 = 1
LCM(739,582) = ( 739 × 582 ) / 1
LCM(739,582) = 430098 / 1
LCM(739,582) = 430098
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 266/739, 2353/582?
Answer: GCF of Numerators as per given numbers 266/739, 2353/582 is
GCF of Numerators i.e. for 266,2353 is 1
LCM of denominators i.e. for 739,582 is 430098.
Thus, GCF of Fractions is 1/430098.Finally, GCF of Fractions for 266/739, 2353/582 is 1/430098.