Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8180/390,8554/7051
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 8180,8554
Greatest Common Factor of Numerators i.e. GCF of 8180,8554 is 2 .
LCM of Denominators means LCM of 390,7051 as per the given fractions.
LCM of 390,7051 is 2749890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8180,8554
2 | 8180, 8554 |
4090, 4277 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8180
List of positive integer factors of 8180 that divides 8180 without a remainder.
1,2,4,5,10,20,409,818,1636,2045,4090,8180
Factors of 8554
List of positive integer factors of 8554 that divides 8554 without a remainder.
1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554
Greatest Common Factor
We found the factors 8180,8554 . The biggest common factor number is the GCF number.
So the greatest common factor 8180,8554 is 2.
Lets's calculate LCM of 390,7051
Given numbers has no common factors except 1. So, there LCM is their product i.e 2749890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2749890
Therefore, the GCF of Fractions 8180/390,8554/7051 is 2/2749890
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 390,7051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,7051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(390,7051) x common factors =1 x 1 = 1
LCM(390,7051) = ( 390 × 7051 ) / 1
LCM(390,7051) = 2749890 / 1
LCM(390,7051) = 2749890
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 8180/390, 8554/7051?
Answer: GCF of Numerators as per given numbers 8180/390, 8554/7051 is
GCF of Numerators i.e. for 8180,8554 is 2
LCM of denominators i.e. for 390,7051 is 2749890.
Thus, GCF of Fractions is 2/2749890.Finally, GCF of Fractions for 8180/390, 8554/7051 is 2/2749890.