Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 865/4876,220/9323
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 865,220
Greatest Common Factor of Numerators i.e. GCF of 865,220 is 5 .
LCM of Denominators means LCM of 4876,9323 as per the given fractions.
LCM of 4876,9323 is 45458948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 865,220
5 | 865, 220 |
173, 44 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 865,220 . The biggest common factor number is the GCF number.
So the greatest common factor 865,220 is 5.
Lets's calculate LCM of 4876,9323
Given numbers has no common factors except 1. So, there LCM is their product i.e 45458948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/45458948
Therefore, the GCF of Fractions 865/4876,220/9323 is 5/45458948
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 4876,9323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4876,9323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4876,9323) x common factors =1 x 1 = 1
LCM(4876,9323) = ( 4876 × 9323 ) / 1
LCM(4876,9323) = 45458948 / 1
LCM(4876,9323) = 45458948
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 865/4876, 220/9323?
Answer: GCF of Numerators as per given numbers 865/4876, 220/9323 is
GCF of Numerators i.e. for 865,220 is 5
LCM of denominators i.e. for 4876,9323 is 45458948.
Thus, GCF of Fractions is 5/45458948.Finally, GCF of Fractions for 865/4876, 220/9323 is 5/45458948.