Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 803/650,203/763
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 803,203
Greatest Common Factor of Numerators i.e. GCF of 803,203 is 1 .
LCM of Denominators means LCM of 650,763 as per the given fractions.
LCM of 650,763 is 495950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 803,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Greatest Common Factor
We found the factors 803,203 . The biggest common factor number is the GCF number.
So the greatest common factor 803,203 is 1.
Lets's calculate LCM of 650,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 495950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495950
Therefore, the GCF of Fractions 803/650,203/763 is 1/495950
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 650,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(650,763) x common factors =1 x 1 = 1
LCM(650,763) = ( 650 × 763 ) / 1
LCM(650,763) = 495950 / 1
LCM(650,763) = 495950
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 803/650, 203/763?
Answer: GCF of Numerators as per given numbers 803/650, 203/763 is
GCF of Numerators i.e. for 803,203 is 1
LCM of denominators i.e. for 650,763 is 495950.
Thus, GCF of Fractions is 1/495950.Finally, GCF of Fractions for 803/650, 203/763 is 1/495950.