Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/91,730/89,116/242
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 944,730,116
Greatest Common Factor of Numerators i.e. GCF of 944,730,116 is 2 .
LCM of Denominators means LCM of 91,89,242 as per the given fractions.
LCM of 91,89,242 is 1959958 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,730,116
2 | 944, 730, 116 |
472, 365, 58 |
∴ So the GCF of the given numbers is 2 = 2
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 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 944,730,116 . The biggest common factor number is the GCF number.
So the greatest common factor 944,730,116 is 2.
Lets's calculate LCM of 91,89,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 1959958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1959958
Therefore, the GCF of Fractions 944/91,730/89,116/242 is 2/1959958
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 91,89,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,89,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,89,242) x common factors =1 x 1 = 1
LCM(91,89,242) = ( 91 × 89 × 242 ) / 1
LCM(91,89,242) = 1959958 / 1
LCM(91,89,242) = 1959958
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 944/91, 730/89, 116/242?
Answer: GCF of Numerators as per given numbers 944/91, 730/89, 116/242 is
GCF of Numerators i.e. for 944,730,116 is 2
LCM of denominators i.e. for 91,89,242 is 1959958.
Thus, GCF of Fractions is 2/1959958.Finally, GCF of Fractions for 944/91, 730/89, 116/242 is 2/1959958.