Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/49,133/55,701/43
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 485,133,701
Greatest Common Factor of Numerators i.e. GCF of 485,133,701 is 1 .
LCM of Denominators means LCM of 49,55,43 as per the given fractions.
LCM of 49,55,43 is 115885 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 485,133,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Greatest Common Factor
We found the factors 485,133,701 . The biggest common factor number is the GCF number.
So the greatest common factor 485,133,701 is 1.
Lets's calculate LCM of 49,55,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 115885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115885
Therefore, the GCF of Fractions 485/49,133/55,701/43 is 1/115885
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 49,55,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,55,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,55,43) x common factors =1 x 1 = 1
LCM(49,55,43) = ( 49 × 55 × 43 ) / 1
LCM(49,55,43) = 115885 / 1
LCM(49,55,43) = 115885
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 485/49, 133/55, 701/43?
Answer: GCF of Numerators as per given numbers 485/49, 133/55, 701/43 is
GCF of Numerators i.e. for 485,133,701 is 1
LCM of denominators i.e. for 49,55,43 is 115885.
Thus, GCF of Fractions is 1/115885.Finally, GCF of Fractions for 485/49, 133/55, 701/43 is 1/115885.