Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 385/67,908/64,716/696
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 385,908,716
Greatest Common Factor of Numerators i.e. GCF of 385,908,716 is 1 .
LCM of Denominators means LCM of 67,64,696 as per the given fractions.
LCM of 67,64,696 is 373056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 385,908,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Greatest Common Factor
We found the factors 385,908,716 . The biggest common factor number is the GCF number.
So the greatest common factor 385,908,716 is 1.
Lets's calculate LCM of 67,64,696
2 | 67, 64, 696 |
2 | 67, 32, 348 |
2 | 67, 16, 174 |
67, 8, 87 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 8 x 87 = 373056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373056
Therefore, the GCF of Fractions 385/67,908/64,716/696 is 1/373056
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 67,64,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,64,696) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(67,64,696) x common factors =1 x 8 = 8
LCM(67,64,696) = ( 67 × 64 × 696 ) / 8
LCM(67,64,696) = 2984448 / 8
LCM(67,64,696) = 373056
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 385/67, 908/64, 716/696?
Answer: GCF of Numerators as per given numbers 385/67, 908/64, 716/696 is
GCF of Numerators i.e. for 385,908,716 is 1
LCM of denominators i.e. for 67,64,696 is 373056.
Thus, GCF of Fractions is 1/373056.Finally, GCF of Fractions for 385/67, 908/64, 716/696 is 1/373056.