Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 414/270,3458/9217
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 414,3458
Greatest Common Factor of Numerators i.e. GCF of 414,3458 is 2 .
LCM of Denominators means LCM of 270,9217 as per the given fractions.
LCM of 270,9217 is 2488590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 414,3458
2 | 414, 3458 |
207, 1729 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 3458
List of positive integer factors of 3458 that divides 3458 without a remainder.
1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458
Greatest Common Factor
We found the factors 414,3458 . The biggest common factor number is the GCF number.
So the greatest common factor 414,3458 is 2.
Lets's calculate LCM of 270,9217
Given numbers has no common factors except 1. So, there LCM is their product i.e 2488590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2488590
Therefore, the GCF of Fractions 414/270,3458/9217 is 2/2488590
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 270,9217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,9217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(270,9217) x common factors =1 x 1 = 1
LCM(270,9217) = ( 270 × 9217 ) / 1
LCM(270,9217) = 2488590 / 1
LCM(270,9217) = 2488590
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 414/270, 3458/9217?
Answer: GCF of Numerators as per given numbers 414/270, 3458/9217 is
GCF of Numerators i.e. for 414,3458 is 2
LCM of denominators i.e. for 270,9217 is 2488590.
Thus, GCF of Fractions is 2/2488590.Finally, GCF of Fractions for 414/270, 3458/9217 is 2/2488590.