Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 836/955,9659/363
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 836,9659
Greatest Common Factor of Numerators i.e. GCF of 836,9659 is 1 .
LCM of Denominators means LCM of 955,363 as per the given fractions.
LCM of 955,363 is 346665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 836,9659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 9659
List of positive integer factors of 9659 that divides 9659 without a remainder.
1,13,743,9659
Greatest Common Factor
We found the factors 836,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 836,9659 is 1.
Lets's calculate LCM of 955,363
Given numbers has no common factors except 1. So, there LCM is their product i.e 346665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346665
Therefore, the GCF of Fractions 836/955,9659/363 is 1/346665
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 955,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,363) x common factors =1 x 1 = 1
LCM(955,363) = ( 955 × 363 ) / 1
LCM(955,363) = 346665 / 1
LCM(955,363) = 346665
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 836/955, 9659/363?
Answer: GCF of Numerators as per given numbers 836/955, 9659/363 is
GCF of Numerators i.e. for 836,9659 is 1
LCM of denominators i.e. for 955,363 is 346665.
Thus, GCF of Fractions is 1/346665.Finally, GCF of Fractions for 836/955, 9659/363 is 1/346665.