Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 119/77,8185/903
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 119,8185
Greatest Common Factor of Numerators i.e. GCF of 119,8185 is 1 .
LCM of Denominators means LCM of 77,903 as per the given fractions.
LCM of 77,903 is 9933 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 119,8185
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 8185
List of positive integer factors of 8185 that divides 8185 without a remainder.
1,5,1637,8185
Greatest Common Factor
We found the factors 119,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 119,8185 is 1.
Lets's calculate LCM of 77,903
7 | 77, 903 |
11, 129 |
∴ So the LCM of the given numbers is 7 x 11 x 129 = 9933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9933
Therefore, the GCF of Fractions 119/77,8185/903 is 1/9933
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 77,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,903) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(77,903) x common factors =7 x 1 = 7
LCM(77,903) = ( 77 × 903 ) / 7
LCM(77,903) = 69531 / 7
LCM(77,903) = 9933
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 119/77, 8185/903?
Answer: GCF of Numerators as per given numbers 119/77, 8185/903 is
GCF of Numerators i.e. for 119,8185 is 1
LCM of denominators i.e. for 77,903 is 9933.
Thus, GCF of Fractions is 1/9933.Finally, GCF of Fractions for 119/77, 8185/903 is 1/9933.