Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/43,58/36,348/818
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 27,58,348
Greatest Common Factor of Numerators i.e. GCF of 27,58,348 is 1 .
LCM of Denominators means LCM of 43,36,818 as per the given fractions.
LCM of 43,36,818 is 633132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,58,348
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Greatest Common Factor
We found the factors 27,58,348 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,348 is 1.
Lets's calculate LCM of 43,36,818
2 | 43, 36, 818 |
43, 18, 409 |
∴ So the LCM of the given numbers is 2 x 43 x 18 x 409 = 633132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633132
Therefore, the GCF of Fractions 27/43,58/36,348/818 is 1/633132
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 43,36,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,36,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,36,818) x common factors =1 x 2 = 2
LCM(43,36,818) = ( 43 × 36 × 818 ) / 2
LCM(43,36,818) = 1266264 / 2
LCM(43,36,818) = 633132
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 27/43, 58/36, 348/818?
Answer: GCF of Numerators as per given numbers 27/43, 58/36, 348/818 is
GCF of Numerators i.e. for 27,58,348 is 1
LCM of denominators i.e. for 43,36,818 is 633132.
Thus, GCF of Fractions is 1/633132.Finally, GCF of Fractions for 27/43, 58/36, 348/818 is 1/633132.