Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 711/54,533/83,161/921
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 711,533,161
Greatest Common Factor of Numerators i.e. GCF of 711,533,161 is 1 .
LCM of Denominators means LCM of 54,83,921 as per the given fractions.
LCM of 54,83,921 is 1375974 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 711,533,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 711,533,161 . The biggest common factor number is the GCF number.
So the greatest common factor 711,533,161 is 1.
Lets's calculate LCM of 54,83,921
3 | 54, 83, 921 |
18, 83, 307 |
∴ So the LCM of the given numbers is 3 x 18 x 83 x 307 = 1375974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375974
Therefore, the GCF of Fractions 711/54,533/83,161/921 is 1/1375974
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 54,83,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,83,921) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(54,83,921) x common factors =1 x 3 = 3
LCM(54,83,921) = ( 54 × 83 × 921 ) / 3
LCM(54,83,921) = 4127922 / 3
LCM(54,83,921) = 1375974
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 711/54, 533/83, 161/921?
Answer: GCF of Numerators as per given numbers 711/54, 533/83, 161/921 is
GCF of Numerators i.e. for 711,533,161 is 1
LCM of denominators i.e. for 54,83,921 is 1375974.
Thus, GCF of Fractions is 1/1375974.Finally, GCF of Fractions for 711/54, 533/83, 161/921 is 1/1375974.