Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6178/836,8793/4429
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 6178,8793
Greatest Common Factor of Numerators i.e. GCF of 6178,8793 is 1 .
LCM of Denominators means LCM of 836,4429 as per the given fractions.
LCM of 836,4429 is 3702644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6178,8793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6178
List of positive integer factors of 6178 that divides 6178 without a remainder.
1,2,3089,6178
Factors of 8793
List of positive integer factors of 8793 that divides 8793 without a remainder.
1,3,9,977,2931,8793
Greatest Common Factor
We found the factors 6178,8793 . The biggest common factor number is the GCF number.
So the greatest common factor 6178,8793 is 1.
Lets's calculate LCM of 836,4429
Given numbers has no common factors except 1. So, there LCM is their product i.e 3702644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3702644
Therefore, the GCF of Fractions 6178/836,8793/4429 is 1/3702644
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 836,4429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,4429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,4429) x common factors =1 x 1 = 1
LCM(836,4429) = ( 836 × 4429 ) / 1
LCM(836,4429) = 3702644 / 1
LCM(836,4429) = 3702644
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 6178/836, 8793/4429?
Answer: GCF of Numerators as per given numbers 6178/836, 8793/4429 is
GCF of Numerators i.e. for 6178,8793 is 1
LCM of denominators i.e. for 836,4429 is 3702644.
Thus, GCF of Fractions is 1/3702644.Finally, GCF of Fractions for 6178/836, 8793/4429 is 1/3702644.