Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1008/729,2785/1940
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 1008,2785
Greatest Common Factor of Numerators i.e. GCF of 1008,2785 is 1 .
LCM of Denominators means LCM of 729,1940 as per the given fractions.
LCM of 729,1940 is 1414260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1008,2785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1008
List of positive integer factors of 1008 that divides 1008 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Factors of 2785
List of positive integer factors of 2785 that divides 2785 without a remainder.
1,5,557,2785
Greatest Common Factor
We found the factors 1008,2785 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,2785 is 1.
Lets's calculate LCM of 729,1940
Given numbers has no common factors except 1. So, there LCM is their product i.e 1414260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1414260
Therefore, the GCF of Fractions 1008/729,2785/1940 is 1/1414260
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 729,1940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,1940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,1940) x common factors =1 x 1 = 1
LCM(729,1940) = ( 729 × 1940 ) / 1
LCM(729,1940) = 1414260 / 1
LCM(729,1940) = 1414260
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 1008/729, 2785/1940?
Answer: GCF of Numerators as per given numbers 1008/729, 2785/1940 is
GCF of Numerators i.e. for 1008,2785 is 1
LCM of denominators i.e. for 729,1940 is 1414260.
Thus, GCF of Fractions is 1/1414260.Finally, GCF of Fractions for 1008/729, 2785/1940 is 1/1414260.