Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/45,143/83,721/989
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 457,143,721
Greatest Common Factor of Numerators i.e. GCF of 457,143,721 is 1 .
LCM of Denominators means LCM of 45,83,989 as per the given fractions.
LCM of 45,83,989 is 3693915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,143,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 457,143,721 . The biggest common factor number is the GCF number.
So the greatest common factor 457,143,721 is 1.
Lets's calculate LCM of 45,83,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 3693915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3693915
Therefore, the GCF of Fractions 457/45,143/83,721/989 is 1/3693915
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 45,83,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,83,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,83,989) x common factors =1 x 1 = 1
LCM(45,83,989) = ( 45 × 83 × 989 ) / 1
LCM(45,83,989) = 3693915 / 1
LCM(45,83,989) = 3693915
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 457/45, 143/83, 721/989?
Answer: GCF of Numerators as per given numbers 457/45, 143/83, 721/989 is
GCF of Numerators i.e. for 457,143,721 is 1
LCM of denominators i.e. for 45,83,989 is 3693915.
Thus, GCF of Fractions is 1/3693915.Finally, GCF of Fractions for 457/45, 143/83, 721/989 is 1/3693915.