Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/19,63/38,37/18,51/57
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 94,63,37,51
Greatest Common Factor of Numerators i.e. GCF of 94,63,37,51 is 1 .
LCM of Denominators means LCM of 19,38,18,57 as per the given fractions.
LCM of 19,38,18,57 is 342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,63,37,51
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Greatest Common Factor
We found the factors 94,63,37,51 . The biggest common factor number is the GCF number.
So the greatest common factor 94,63,37,51 is 1.
Lets's calculate LCM of 19,38,18,57
2 | 19, 38, 18, 57 |
3 | 19, 19, 9, 57 |
19 | 19, 19, 3, 19 |
1, 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 1 x 3 x 1 = 342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342
Therefore, the GCF of Fractions 94/19,63/38,37/18,51/57 is 1/342
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 19,38,18,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,38,18,57) = 1
common factors(in case of two or more numbers have common factors) = 2166
GCF(19,38,18,57) x common factors =1 x 2166 = 2166
LCM(19,38,18,57) = ( 19 × 38 × 18 × 57 ) / 2166
LCM(19,38,18,57) = 740772 / 2166
LCM(19,38,18,57) = 342
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 94/19, 63/38, 37/18, 51/57?
Answer: GCF of Numerators as per given numbers 94/19, 63/38, 37/18, 51/57 is
GCF of Numerators i.e. for 94,63,37,51 is 1
LCM of denominators i.e. for 19,38,18,57 is 342.
Thus, GCF of Fractions is 1/342.Finally, GCF of Fractions for 94/19, 63/38, 37/18, 51/57 is 1/342.