Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6805/247,2938/2570
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 6805,2938
Greatest Common Factor of Numerators i.e. GCF of 6805,2938 is 1 .
LCM of Denominators means LCM of 247,2570 as per the given fractions.
LCM of 247,2570 is 634790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6805,2938
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6805
List of positive integer factors of 6805 that divides 6805 without a remainder.
1,5,1361,6805
Factors of 2938
List of positive integer factors of 2938 that divides 2938 without a remainder.
1,2,13,26,113,226,1469,2938
Greatest Common Factor
We found the factors 6805,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 6805,2938 is 1.
Lets's calculate LCM of 247,2570
Given numbers has no common factors except 1. So, there LCM is their product i.e 634790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/634790
Therefore, the GCF of Fractions 6805/247,2938/2570 is 1/634790
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 247,2570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,2570) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,2570) x common factors =1 x 1 = 1
LCM(247,2570) = ( 247 × 2570 ) / 1
LCM(247,2570) = 634790 / 1
LCM(247,2570) = 634790
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 6805/247, 2938/2570?
Answer: GCF of Numerators as per given numbers 6805/247, 2938/2570 is
GCF of Numerators i.e. for 6805,2938 is 1
LCM of denominators i.e. for 247,2570 is 634790.
Thus, GCF of Fractions is 1/634790.Finally, GCF of Fractions for 6805/247, 2938/2570 is 1/634790.