Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 657/55,130/71,673/908
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 657,130,673
Greatest Common Factor of Numerators i.e. GCF of 657,130,673 is 1 .
LCM of Denominators means LCM of 55,71,908 as per the given fractions.
LCM of 55,71,908 is 3545740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 657,130,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 657,130,673 . The biggest common factor number is the GCF number.
So the greatest common factor 657,130,673 is 1.
Lets's calculate LCM of 55,71,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 3545740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3545740
Therefore, the GCF of Fractions 657/55,130/71,673/908 is 1/3545740
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 55,71,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,71,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,71,908) x common factors =1 x 1 = 1
LCM(55,71,908) = ( 55 × 71 × 908 ) / 1
LCM(55,71,908) = 3545740 / 1
LCM(55,71,908) = 3545740
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 657/55, 130/71, 673/908?
Answer: GCF of Numerators as per given numbers 657/55, 130/71, 673/908 is
GCF of Numerators i.e. for 657,130,673 is 1
LCM of denominators i.e. for 55,71,908 is 3545740.
Thus, GCF of Fractions is 1/3545740.Finally, GCF of Fractions for 657/55, 130/71, 673/908 is 1/3545740.