Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/448,595/713
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 426,595
Greatest Common Factor of Numerators i.e. GCF of 426,595 is 1 .
LCM of Denominators means LCM of 448,713 as per the given fractions.
LCM of 448,713 is 319424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 426,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 426,595 . The biggest common factor number is the GCF number.
So the greatest common factor 426,595 is 1.
Lets's calculate LCM of 448,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 319424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319424
Therefore, the GCF of Fractions 426/448,595/713 is 1/319424
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 448,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,713) x common factors =1 x 1 = 1
LCM(448,713) = ( 448 × 713 ) / 1
LCM(448,713) = 319424 / 1
LCM(448,713) = 319424
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 426/448, 595/713?
Answer: GCF of Numerators as per given numbers 426/448, 595/713 is
GCF of Numerators i.e. for 426,595 is 1
LCM of denominators i.e. for 448,713 is 319424.
Thus, GCF of Fractions is 1/319424.Finally, GCF of Fractions for 426/448, 595/713 is 1/319424.