Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/99,621/68,436/335
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 18,621,436
Greatest Common Factor of Numerators i.e. GCF of 18,621,436 is 1 .
LCM of Denominators means LCM of 99,68,335 as per the given fractions.
LCM of 99,68,335 is 2255220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,621,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 18,621,436 . The biggest common factor number is the GCF number.
So the greatest common factor 18,621,436 is 1.
Lets's calculate LCM of 99,68,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 2255220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2255220
Therefore, the GCF of Fractions 18/99,621/68,436/335 is 1/2255220
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 99,68,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,68,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,68,335) x common factors =1 x 1 = 1
LCM(99,68,335) = ( 99 × 68 × 335 ) / 1
LCM(99,68,335) = 2255220 / 1
LCM(99,68,335) = 2255220
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 18/99, 621/68, 436/335?
Answer: GCF of Numerators as per given numbers 18/99, 621/68, 436/335 is
GCF of Numerators i.e. for 18,621,436 is 1
LCM of denominators i.e. for 99,68,335 is 2255220.
Thus, GCF of Fractions is 1/2255220.Finally, GCF of Fractions for 18/99, 621/68, 436/335 is 1/2255220.