Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8286/53,1786/940
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 8286,1786
Greatest Common Factor of Numerators i.e. GCF of 8286,1786 is 2 .
LCM of Denominators means LCM of 53,940 as per the given fractions.
LCM of 53,940 is 49820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8286,1786
2 | 8286, 1786 |
4143, 893 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8286
List of positive integer factors of 8286 that divides 8286 without a remainder.
1,2,3,6,1381,2762,4143,8286
Factors of 1786
List of positive integer factors of 1786 that divides 1786 without a remainder.
1,2,19,38,47,94,893,1786
Greatest Common Factor
We found the factors 8286,1786 . The biggest common factor number is the GCF number.
So the greatest common factor 8286,1786 is 2.
Lets's calculate LCM of 53,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 49820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49820
Therefore, the GCF of Fractions 8286/53,1786/940 is 2/49820
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 53,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,940) x common factors =1 x 1 = 1
LCM(53,940) = ( 53 × 940 ) / 1
LCM(53,940) = 49820 / 1
LCM(53,940) = 49820
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 8286/53, 1786/940?
Answer: GCF of Numerators as per given numbers 8286/53, 1786/940 is
GCF of Numerators i.e. for 8286,1786 is 2
LCM of denominators i.e. for 53,940 is 49820.
Thus, GCF of Fractions is 2/49820.Finally, GCF of Fractions for 8286/53, 1786/940 is 2/49820.