Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5227/836,8723/8803
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 5227,8723
Greatest Common Factor of Numerators i.e. GCF of 5227,8723 is 1 .
LCM of Denominators means LCM of 836,8803 as per the given fractions.
LCM of 836,8803 is 7359308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5227,8723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5227
List of positive integer factors of 5227 that divides 5227 without a remainder.
1,5227
Factors of 8723
List of positive integer factors of 8723 that divides 8723 without a remainder.
1,11,13,61,143,671,793,8723
Greatest Common Factor
We found the factors 5227,8723 . The biggest common factor number is the GCF number.
So the greatest common factor 5227,8723 is 1.
Lets's calculate LCM of 836,8803
Given numbers has no common factors except 1. So, there LCM is their product i.e 7359308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7359308
Therefore, the GCF of Fractions 5227/836,8723/8803 is 1/7359308
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 836,8803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,8803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,8803) x common factors =1 x 1 = 1
LCM(836,8803) = ( 836 × 8803 ) / 1
LCM(836,8803) = 7359308 / 1
LCM(836,8803) = 7359308
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 5227/836, 8723/8803?
Answer: GCF of Numerators as per given numbers 5227/836, 8723/8803 is
GCF of Numerators i.e. for 5227,8723 is 1
LCM of denominators i.e. for 836,8803 is 7359308.
Thus, GCF of Fractions is 1/7359308.Finally, GCF of Fractions for 5227/836, 8723/8803 is 1/7359308.