Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5295/85,3446/964
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 5295,3446
Greatest Common Factor of Numerators i.e. GCF of 5295,3446 is 1 .
LCM of Denominators means LCM of 85,964 as per the given fractions.
LCM of 85,964 is 81940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5295,3446
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5295
List of positive integer factors of 5295 that divides 5295 without a remainder.
1,3,5,15,353,1059,1765,5295
Factors of 3446
List of positive integer factors of 3446 that divides 3446 without a remainder.
1,2,1723,3446
Greatest Common Factor
We found the factors 5295,3446 . The biggest common factor number is the GCF number.
So the greatest common factor 5295,3446 is 1.
Lets's calculate LCM of 85,964
Given numbers has no common factors except 1. So, there LCM is their product i.e 81940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81940
Therefore, the GCF of Fractions 5295/85,3446/964 is 1/81940
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 85,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,964) x common factors =1 x 1 = 1
LCM(85,964) = ( 85 × 964 ) / 1
LCM(85,964) = 81940 / 1
LCM(85,964) = 81940
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 5295/85, 3446/964?
Answer: GCF of Numerators as per given numbers 5295/85, 3446/964 is
GCF of Numerators i.e. for 5295,3446 is 1
LCM of denominators i.e. for 85,964 is 81940.
Thus, GCF of Fractions is 1/81940.Finally, GCF of Fractions for 5295/85, 3446/964 is 1/81940.