Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/158,8269/6099
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 240,8269
Greatest Common Factor of Numerators i.e. GCF of 240,8269 is 1 .
LCM of Denominators means LCM of 158,6099 as per the given fractions.
LCM of 158,6099 is 963642 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,8269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 8269
List of positive integer factors of 8269 that divides 8269 without a remainder.
1,8269
Greatest Common Factor
We found the factors 240,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 240,8269 is 1.
Lets's calculate LCM of 158,6099
Given numbers has no common factors except 1. So, there LCM is their product i.e 963642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/963642
Therefore, the GCF of Fractions 240/158,8269/6099 is 1/963642
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 158,6099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,6099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,6099) x common factors =1 x 1 = 1
LCM(158,6099) = ( 158 × 6099 ) / 1
LCM(158,6099) = 963642 / 1
LCM(158,6099) = 963642
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 240/158, 8269/6099?
Answer: GCF of Numerators as per given numbers 240/158, 8269/6099 is
GCF of Numerators i.e. for 240,8269 is 1
LCM of denominators i.e. for 158,6099 is 963642.
Thus, GCF of Fractions is 1/963642.Finally, GCF of Fractions for 240/158, 8269/6099 is 1/963642.