Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8766/856,9230/6089
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 8766,9230
Greatest Common Factor of Numerators i.e. GCF of 8766,9230 is 2 .
LCM of Denominators means LCM of 856,6089 as per the given fractions.
LCM of 856,6089 is 5212184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8766,9230
2 | 8766, 9230 |
4383, 4615 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8766
List of positive integer factors of 8766 that divides 8766 without a remainder.
1,2,3,6,9,18,487,974,1461,2922,4383,8766
Factors of 9230
List of positive integer factors of 9230 that divides 9230 without a remainder.
1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230
Greatest Common Factor
We found the factors 8766,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 8766,9230 is 2.
Lets's calculate LCM of 856,6089
Given numbers has no common factors except 1. So, there LCM is their product i.e 5212184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5212184
Therefore, the GCF of Fractions 8766/856,9230/6089 is 2/5212184
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 856,6089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,6089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,6089) x common factors =1 x 1 = 1
LCM(856,6089) = ( 856 × 6089 ) / 1
LCM(856,6089) = 5212184 / 1
LCM(856,6089) = 5212184
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 8766/856, 9230/6089?
Answer: GCF of Numerators as per given numbers 8766/856, 9230/6089 is
GCF of Numerators i.e. for 8766,9230 is 2
LCM of denominators i.e. for 856,6089 is 5212184.
Thus, GCF of Fractions is 2/5212184.Finally, GCF of Fractions for 8766/856, 9230/6089 is 2/5212184.