Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/48,74/93,73/53,54/67
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 19,74,73,54
Greatest Common Factor of Numerators i.e. GCF of 19,74,73,54 is 1 .
LCM of Denominators means LCM of 48,93,53,67 as per the given fractions.
LCM of 48,93,53,67 is 5283888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,74,73,54
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Greatest Common Factor
We found the factors 19,74,73,54 . The biggest common factor number is the GCF number.
So the greatest common factor 19,74,73,54 is 1.
Lets's calculate LCM of 48,93,53,67
3 | 48, 93, 53, 67 |
16, 31, 53, 67 |
∴ So the LCM of the given numbers is 3 x 16 x 31 x 53 x 67 = 5283888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5283888
Therefore, the GCF of Fractions 19/48,74/93,73/53,54/67 is 1/5283888
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 48,93,53,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,93,53,67) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(48,93,53,67) x common factors =1 x 3 = 3
LCM(48,93,53,67) = ( 48 × 93 × 53 × 67 ) / 3
LCM(48,93,53,67) = 15851664 / 3
LCM(48,93,53,67) = 5283888
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 19/48, 74/93, 73/53, 54/67?
Answer: GCF of Numerators as per given numbers 19/48, 74/93, 73/53, 54/67 is
GCF of Numerators i.e. for 19,74,73,54 is 1
LCM of denominators i.e. for 48,93,53,67 is 5283888.
Thus, GCF of Fractions is 1/5283888.Finally, GCF of Fractions for 19/48, 74/93, 73/53, 54/67 is 1/5283888.