Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2803/19,5316/692
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 2803,5316
Greatest Common Factor of Numerators i.e. GCF of 2803,5316 is 1 .
LCM of Denominators means LCM of 19,692 as per the given fractions.
LCM of 19,692 is 13148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2803,5316
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2803
List of positive integer factors of 2803 that divides 2803 without a remainder.
1,2803
Factors of 5316
List of positive integer factors of 5316 that divides 5316 without a remainder.
1,2,3,4,6,12,443,886,1329,1772,2658,5316
Greatest Common Factor
We found the factors 2803,5316 . The biggest common factor number is the GCF number.
So the greatest common factor 2803,5316 is 1.
Lets's calculate LCM of 19,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 13148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13148
Therefore, the GCF of Fractions 2803/19,5316/692 is 1/13148
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 19,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,692) x common factors =1 x 1 = 1
LCM(19,692) = ( 19 × 692 ) / 1
LCM(19,692) = 13148 / 1
LCM(19,692) = 13148
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 2803/19, 5316/692?
Answer: GCF of Numerators as per given numbers 2803/19, 5316/692 is
GCF of Numerators i.e. for 2803,5316 is 1
LCM of denominators i.e. for 19,692 is 13148.
Thus, GCF of Fractions is 1/13148.Finally, GCF of Fractions for 2803/19, 5316/692 is 1/13148.