Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2636/891,6306/118
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 2636,6306
Greatest Common Factor of Numerators i.e. GCF of 2636,6306 is 2 .
LCM of Denominators means LCM of 891,118 as per the given fractions.
LCM of 891,118 is 105138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2636,6306
2 | 2636, 6306 |
1318, 3153 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2636
List of positive integer factors of 2636 that divides 2636 without a remainder.
1,2,4,659,1318,2636
Factors of 6306
List of positive integer factors of 6306 that divides 6306 without a remainder.
1,2,3,6,1051,2102,3153,6306
Greatest Common Factor
We found the factors 2636,6306 . The biggest common factor number is the GCF number.
So the greatest common factor 2636,6306 is 2.
Lets's calculate LCM of 891,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 105138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105138
Therefore, the GCF of Fractions 2636/891,6306/118 is 2/105138
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 891,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(891,118) x common factors =1 x 1 = 1
LCM(891,118) = ( 891 × 118 ) / 1
LCM(891,118) = 105138 / 1
LCM(891,118) = 105138
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 2636/891, 6306/118?
Answer: GCF of Numerators as per given numbers 2636/891, 6306/118 is
GCF of Numerators i.e. for 2636,6306 is 2
LCM of denominators i.e. for 891,118 is 105138.
Thus, GCF of Fractions is 2/105138.Finally, GCF of Fractions for 2636/891, 6306/118 is 2/105138.