Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/29,143/95,617/369
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 541,143,617
Greatest Common Factor of Numerators i.e. GCF of 541,143,617 is 1 .
LCM of Denominators means LCM of 29,95,369 as per the given fractions.
LCM of 29,95,369 is 1016595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,143,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 541,143,617 . The biggest common factor number is the GCF number.
So the greatest common factor 541,143,617 is 1.
Lets's calculate LCM of 29,95,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 1016595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1016595
Therefore, the GCF of Fractions 541/29,143/95,617/369 is 1/1016595
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 29,95,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,95,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,95,369) x common factors =1 x 1 = 1
LCM(29,95,369) = ( 29 × 95 × 369 ) / 1
LCM(29,95,369) = 1016595 / 1
LCM(29,95,369) = 1016595
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 541/29, 143/95, 617/369?
Answer: GCF of Numerators as per given numbers 541/29, 143/95, 617/369 is
GCF of Numerators i.e. for 541,143,617 is 1
LCM of denominators i.e. for 29,95,369 is 1016595.
Thus, GCF of Fractions is 1/1016595.Finally, GCF of Fractions for 541/29, 143/95, 617/369 is 1/1016595.