Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/51,771/13,886/745
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 75,771,886
Greatest Common Factor of Numerators i.e. GCF of 75,771,886 is 1 .
LCM of Denominators means LCM of 51,13,745 as per the given fractions.
LCM of 51,13,745 is 493935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,771,886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 75,771,886 . The biggest common factor number is the GCF number.
So the greatest common factor 75,771,886 is 1.
Lets's calculate LCM of 51,13,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 493935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/493935
Therefore, the GCF of Fractions 75/51,771/13,886/745 is 1/493935
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 51,13,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,13,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,13,745) x common factors =1 x 1 = 1
LCM(51,13,745) = ( 51 × 13 × 745 ) / 1
LCM(51,13,745) = 493935 / 1
LCM(51,13,745) = 493935
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 75/51, 771/13, 886/745?
Answer: GCF of Numerators as per given numbers 75/51, 771/13, 886/745 is
GCF of Numerators i.e. for 75,771,886 is 1
LCM of denominators i.e. for 51,13,745 is 493935.
Thus, GCF of Fractions is 1/493935.Finally, GCF of Fractions for 75/51, 771/13, 886/745 is 1/493935.