Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/93,349/9263
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 448,349
Greatest Common Factor of Numerators i.e. GCF of 448,349 is 1 .
LCM of Denominators means LCM of 93,9263 as per the given fractions.
LCM of 93,9263 is 861459 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 448,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 448,349 . The biggest common factor number is the GCF number.
So the greatest common factor 448,349 is 1.
Lets's calculate LCM of 93,9263
Given numbers has no common factors except 1. So, there LCM is their product i.e 861459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/861459
Therefore, the GCF of Fractions 448/93,349/9263 is 1/861459
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 93,9263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,9263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,9263) x common factors =1 x 1 = 1
LCM(93,9263) = ( 93 × 9263 ) / 1
LCM(93,9263) = 861459 / 1
LCM(93,9263) = 861459
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 448/93, 349/9263?
Answer: GCF of Numerators as per given numbers 448/93, 349/9263 is
GCF of Numerators i.e. for 448,349 is 1
LCM of denominators i.e. for 93,9263 is 861459.
Thus, GCF of Fractions is 1/861459.Finally, GCF of Fractions for 448/93, 349/9263 is 1/861459.