Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4358/270,6406/441
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 4358,6406
Greatest Common Factor of Numerators i.e. GCF of 4358,6406 is 2 .
LCM of Denominators means LCM of 270,441 as per the given fractions.
LCM of 270,441 is 13230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4358,6406
2 | 4358, 6406 |
2179, 3203 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4358
List of positive integer factors of 4358 that divides 4358 without a remainder.
1,2,2179,4358
Factors of 6406
List of positive integer factors of 6406 that divides 6406 without a remainder.
1,2,3203,6406
Greatest Common Factor
We found the factors 4358,6406 . The biggest common factor number is the GCF number.
So the greatest common factor 4358,6406 is 2.
Lets's calculate LCM of 270,441
3 | 270, 441 |
3 | 90, 147 |
30, 49 |
∴ So the LCM of the given numbers is 3 x 3 x 30 x 49 = 13230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13230
Therefore, the GCF of Fractions 4358/270,6406/441 is 2/13230
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 270,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,441) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(270,441) x common factors =9 x 1 = 9
LCM(270,441) = ( 270 × 441 ) / 9
LCM(270,441) = 119070 / 9
LCM(270,441) = 13230
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 4358/270, 6406/441?
Answer: GCF of Numerators as per given numbers 4358/270, 6406/441 is
GCF of Numerators i.e. for 4358,6406 is 2
LCM of denominators i.e. for 270,441 is 13230.
Thus, GCF of Fractions is 2/13230.Finally, GCF of Fractions for 4358/270, 6406/441 is 2/13230.