Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4747/802,8805/869
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 4747,8805
Greatest Common Factor of Numerators i.e. GCF of 4747,8805 is 1 .
LCM of Denominators means LCM of 802,869 as per the given fractions.
LCM of 802,869 is 696938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4747,8805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4747
List of positive integer factors of 4747 that divides 4747 without a remainder.
1,47,101,4747
Factors of 8805
List of positive integer factors of 8805 that divides 8805 without a remainder.
1,3,5,15,587,1761,2935,8805
Greatest Common Factor
We found the factors 4747,8805 . The biggest common factor number is the GCF number.
So the greatest common factor 4747,8805 is 1.
Lets's calculate LCM of 802,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 696938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/696938
Therefore, the GCF of Fractions 4747/802,8805/869 is 1/696938
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 802,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,869) x common factors =1 x 1 = 1
LCM(802,869) = ( 802 × 869 ) / 1
LCM(802,869) = 696938 / 1
LCM(802,869) = 696938
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 4747/802, 8805/869?
Answer: GCF of Numerators as per given numbers 4747/802, 8805/869 is
GCF of Numerators i.e. for 4747,8805 is 1
LCM of denominators i.e. for 802,869 is 696938.
Thus, GCF of Fractions is 1/696938.Finally, GCF of Fractions for 4747/802, 8805/869 is 1/696938.