Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9140/310,8842/490
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 9140,8842
Greatest Common Factor of Numerators i.e. GCF of 9140,8842 is 2 .
LCM of Denominators means LCM of 310,490 as per the given fractions.
LCM of 310,490 is 15190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9140,8842
2 | 9140, 8842 |
4570, 4421 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9140
List of positive integer factors of 9140 that divides 9140 without a remainder.
1,2,4,5,10,20,457,914,1828,2285,4570,9140
Factors of 8842
List of positive integer factors of 8842 that divides 8842 without a remainder.
1,2,4421,8842
Greatest Common Factor
We found the factors 9140,8842 . The biggest common factor number is the GCF number.
So the greatest common factor 9140,8842 is 2.
Lets's calculate LCM of 310,490
2 | 310, 490 |
5 | 155, 245 |
31, 49 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 49 = 15190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15190
Therefore, the GCF of Fractions 9140/310,8842/490 is 2/15190
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 310,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,490) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(310,490) x common factors =10 x 1 = 10
LCM(310,490) = ( 310 × 490 ) / 10
LCM(310,490) = 151900 / 10
LCM(310,490) = 15190
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 9140/310, 8842/490?
Answer: GCF of Numerators as per given numbers 9140/310, 8842/490 is
GCF of Numerators i.e. for 9140,8842 is 2
LCM of denominators i.e. for 310,490 is 15190.
Thus, GCF of Fractions is 2/15190.Finally, GCF of Fractions for 9140/310, 8842/490 is 2/15190.