Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 294/828,9443/593
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 294,9443
Greatest Common Factor of Numerators i.e. GCF of 294,9443 is 7 .
LCM of Denominators means LCM of 828,593 as per the given fractions.
LCM of 828,593 is 491004 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 294,9443
7 | 294, 9443 |
42, 1349 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 9443
List of positive integer factors of 9443 that divides 9443 without a remainder.
1,7,19,71,133,497,1349,9443
Greatest Common Factor
We found the factors 294,9443 . The biggest common factor number is the GCF number.
So the greatest common factor 294,9443 is 7.
Lets's calculate LCM of 828,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 491004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/491004
Therefore, the GCF of Fractions 294/828,9443/593 is 7/491004
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 828,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,593) x common factors =1 x 1 = 1
LCM(828,593) = ( 828 × 593 ) / 1
LCM(828,593) = 491004 / 1
LCM(828,593) = 491004
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 294/828, 9443/593?
Answer: GCF of Numerators as per given numbers 294/828, 9443/593 is
GCF of Numerators i.e. for 294,9443 is 7
LCM of denominators i.e. for 828,593 is 491004.
Thus, GCF of Fractions is 7/491004.Finally, GCF of Fractions for 294/828, 9443/593 is 7/491004.