Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/81,429/5435
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 578,429
Greatest Common Factor of Numerators i.e. GCF of 578,429 is 1 .
LCM of Denominators means LCM of 81,5435 as per the given fractions.
LCM of 81,5435 is 440235 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,429
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Greatest Common Factor
We found the factors 578,429 . The biggest common factor number is the GCF number.
So the greatest common factor 578,429 is 1.
Lets's calculate LCM of 81,5435
Given numbers has no common factors except 1. So, there LCM is their product i.e 440235
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/440235
Therefore, the GCF of Fractions 578/81,429/5435 is 1/440235
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 81,5435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,5435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,5435) x common factors =1 x 1 = 1
LCM(81,5435) = ( 81 × 5435 ) / 1
LCM(81,5435) = 440235 / 1
LCM(81,5435) = 440235
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 578/81, 429/5435?
Answer: GCF of Numerators as per given numbers 578/81, 429/5435 is
GCF of Numerators i.e. for 578,429 is 1
LCM of denominators i.e. for 81,5435 is 440235.
Thus, GCF of Fractions is 1/440235.Finally, GCF of Fractions for 578/81, 429/5435 is 1/440235.