Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/287,6318/810
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 110,6318
Greatest Common Factor of Numerators i.e. GCF of 110,6318 is 2 .
LCM of Denominators means LCM of 287,810 as per the given fractions.
LCM of 287,810 is 232470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,6318
2 | 110, 6318 |
55, 3159 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Greatest Common Factor
We found the factors 110,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 110,6318 is 2.
Lets's calculate LCM of 287,810
Given numbers has no common factors except 1. So, there LCM is their product i.e 232470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/232470
Therefore, the GCF of Fractions 110/287,6318/810 is 2/232470
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 287,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,810) x common factors =1 x 1 = 1
LCM(287,810) = ( 287 × 810 ) / 1
LCM(287,810) = 232470 / 1
LCM(287,810) = 232470
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 110/287, 6318/810?
Answer: GCF of Numerators as per given numbers 110/287, 6318/810 is
GCF of Numerators i.e. for 110,6318 is 2
LCM of denominators i.e. for 287,810 is 232470.
Thus, GCF of Fractions is 2/232470.Finally, GCF of Fractions for 110/287, 6318/810 is 2/232470.