Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 873/395,1434/443
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 873,1434
Greatest Common Factor of Numerators i.e. GCF of 873,1434 is 3 .
LCM of Denominators means LCM of 395,443 as per the given fractions.
LCM of 395,443 is 174985 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 873,1434
3 | 873, 1434 |
291, 478 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 1434
List of positive integer factors of 1434 that divides 1434 without a remainder.
1,2,3,6,239,478,717,1434
Greatest Common Factor
We found the factors 873,1434 . The biggest common factor number is the GCF number.
So the greatest common factor 873,1434 is 3.
Lets's calculate LCM of 395,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 174985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/174985
Therefore, the GCF of Fractions 873/395,1434/443 is 3/174985
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 395,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,443) x common factors =1 x 1 = 1
LCM(395,443) = ( 395 × 443 ) / 1
LCM(395,443) = 174985 / 1
LCM(395,443) = 174985
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 873/395, 1434/443?
Answer: GCF of Numerators as per given numbers 873/395, 1434/443 is
GCF of Numerators i.e. for 873,1434 is 3
LCM of denominators i.e. for 395,443 is 174985.
Thus, GCF of Fractions is 3/174985.Finally, GCF of Fractions for 873/395, 1434/443 is 3/174985.