Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/282,944/641,295/989
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 110,944,295
Greatest Common Factor of Numerators i.e. GCF of 110,944,295 is 1 .
LCM of Denominators means LCM of 282,641,989 as per the given fractions.
LCM of 282,641,989 is 178773618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,944,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 110,944,295 . The biggest common factor number is the GCF number.
So the greatest common factor 110,944,295 is 1.
Lets's calculate LCM of 282,641,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 178773618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178773618
Therefore, the GCF of Fractions 110/282,944/641,295/989 is 1/178773618
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 282,641,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,641,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(282,641,989) x common factors =1 x 1 = 1
LCM(282,641,989) = ( 282 × 641 × 989 ) / 1
LCM(282,641,989) = 178773618 / 1
LCM(282,641,989) = 178773618
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 110/282, 944/641, 295/989?
Answer: GCF of Numerators as per given numbers 110/282, 944/641, 295/989 is
GCF of Numerators i.e. for 110,944,295 is 1
LCM of denominators i.e. for 282,641,989 is 178773618.
Thus, GCF of Fractions is 1/178773618.Finally, GCF of Fractions for 110/282, 944/641, 295/989 is 1/178773618.