Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/98,50/835,104/143
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 40,50,104
Greatest Common Factor of Numerators i.e. GCF of 40,50,104 is 2 .
LCM of Denominators means LCM of 98,835,143 as per the given fractions.
LCM of 98,835,143 is 11701690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,50,104
2 | 40, 50, 104 |
20, 25, 52 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 40,50,104 . The biggest common factor number is the GCF number.
So the greatest common factor 40,50,104 is 2.
Lets's calculate LCM of 98,835,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 11701690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11701690
Therefore, the GCF of Fractions 40/98,50/835,104/143 is 2/11701690
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 98,835,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,835,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,835,143) x common factors =1 x 1 = 1
LCM(98,835,143) = ( 98 × 835 × 143 ) / 1
LCM(98,835,143) = 11701690 / 1
LCM(98,835,143) = 11701690
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 40/98, 50/835, 104/143?
Answer: GCF of Numerators as per given numbers 40/98, 50/835, 104/143 is
GCF of Numerators i.e. for 40,50,104 is 2
LCM of denominators i.e. for 98,835,143 is 11701690.
Thus, GCF of Fractions is 2/11701690.Finally, GCF of Fractions for 40/98, 50/835, 104/143 is 2/11701690.