Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1363/391,4287/574
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 1363,4287
Greatest Common Factor of Numerators i.e. GCF of 1363,4287 is 1 .
LCM of Denominators means LCM of 391,574 as per the given fractions.
LCM of 391,574 is 224434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1363,4287
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1363
List of positive integer factors of 1363 that divides 1363 without a remainder.
1,29,47,1363
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Greatest Common Factor
We found the factors 1363,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 1363,4287 is 1.
Lets's calculate LCM of 391,574
Given numbers has no common factors except 1. So, there LCM is their product i.e 224434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224434
Therefore, the GCF of Fractions 1363/391,4287/574 is 1/224434
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 391,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,574) x common factors =1 x 1 = 1
LCM(391,574) = ( 391 × 574 ) / 1
LCM(391,574) = 224434 / 1
LCM(391,574) = 224434
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 1363/391, 4287/574?
Answer: GCF of Numerators as per given numbers 1363/391, 4287/574 is
GCF of Numerators i.e. for 1363,4287 is 1
LCM of denominators i.e. for 391,574 is 224434.
Thus, GCF of Fractions is 1/224434.Finally, GCF of Fractions for 1363/391, 4287/574 is 1/224434.