Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 353/79,451/8731
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 353,451
Greatest Common Factor of Numerators i.e. GCF of 353,451 is 1 .
LCM of Denominators means LCM of 79,8731 as per the given fractions.
LCM of 79,8731 is 689749 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 353,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 353,451 . The biggest common factor number is the GCF number.
So the greatest common factor 353,451 is 1.
Lets's calculate LCM of 79,8731
Given numbers has no common factors except 1. So, there LCM is their product i.e 689749
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689749
Therefore, the GCF of Fractions 353/79,451/8731 is 1/689749
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 79,8731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,8731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,8731) x common factors =1 x 1 = 1
LCM(79,8731) = ( 79 × 8731 ) / 1
LCM(79,8731) = 689749 / 1
LCM(79,8731) = 689749
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 353/79, 451/8731?
Answer: GCF of Numerators as per given numbers 353/79, 451/8731 is
GCF of Numerators i.e. for 353,451 is 1
LCM of denominators i.e. for 79,8731 is 689749.
Thus, GCF of Fractions is 1/689749.Finally, GCF of Fractions for 353/79, 451/8731 is 1/689749.