Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3356/896,8441/775
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 3356,8441
Greatest Common Factor of Numerators i.e. GCF of 3356,8441 is 1 .
LCM of Denominators means LCM of 896,775 as per the given fractions.
LCM of 896,775 is 694400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3356,8441
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3356
List of positive integer factors of 3356 that divides 3356 without a remainder.
1,2,4,839,1678,3356
Factors of 8441
List of positive integer factors of 8441 that divides 8441 without a remainder.
1,23,367,8441
Greatest Common Factor
We found the factors 3356,8441 . The biggest common factor number is the GCF number.
So the greatest common factor 3356,8441 is 1.
Lets's calculate LCM of 896,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 694400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/694400
Therefore, the GCF of Fractions 3356/896,8441/775 is 1/694400
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 896,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,775) x common factors =1 x 1 = 1
LCM(896,775) = ( 896 × 775 ) / 1
LCM(896,775) = 694400 / 1
LCM(896,775) = 694400
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 3356/896, 8441/775?
Answer: GCF of Numerators as per given numbers 3356/896, 8441/775 is
GCF of Numerators i.e. for 3356,8441 is 1
LCM of denominators i.e. for 896,775 is 694400.
Thus, GCF of Fractions is 1/694400.Finally, GCF of Fractions for 3356/896, 8441/775 is 1/694400.