Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3107/470,3761/152
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 3107,3761
Greatest Common Factor of Numerators i.e. GCF of 3107,3761 is 1 .
LCM of Denominators means LCM of 470,152 as per the given fractions.
LCM of 470,152 is 35720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3107,3761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3107
List of positive integer factors of 3107 that divides 3107 without a remainder.
1,13,239,3107
Factors of 3761
List of positive integer factors of 3761 that divides 3761 without a remainder.
1,3761
Greatest Common Factor
We found the factors 3107,3761 . The biggest common factor number is the GCF number.
So the greatest common factor 3107,3761 is 1.
Lets's calculate LCM of 470,152
2 | 470, 152 |
235, 76 |
∴ So the LCM of the given numbers is 2 x 235 x 76 = 35720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35720
Therefore, the GCF of Fractions 3107/470,3761/152 is 1/35720
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 470,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,152) x common factors =2 x 1 = 2
LCM(470,152) = ( 470 × 152 ) / 2
LCM(470,152) = 71440 / 2
LCM(470,152) = 35720
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 3107/470, 3761/152?
Answer: GCF of Numerators as per given numbers 3107/470, 3761/152 is
GCF of Numerators i.e. for 3107,3761 is 1
LCM of denominators i.e. for 470,152 is 35720.
Thus, GCF of Fractions is 1/35720.Finally, GCF of Fractions for 3107/470, 3761/152 is 1/35720.