Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/93,76/32,89/94,54/92
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 18,76,89,54
Greatest Common Factor of Numerators i.e. GCF of 18,76,89,54 is 1 .
LCM of Denominators means LCM of 93,32,94,92 as per the given fractions.
LCM of 93,32,94,92 is 3217056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,76,89,54
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
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 18,76,89,54 . The biggest common factor number is the GCF number.
So the greatest common factor 18,76,89,54 is 1.
Lets's calculate LCM of 93,32,94,92
2 | 93, 32, 94, 92 |
2 | 93, 16, 47, 46 |
93, 8, 47, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 8 x 47 x 23 = 3217056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3217056
Therefore, the GCF of Fractions 18/93,76/32,89/94,54/92 is 1/3217056
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 93,32,94,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,32,94,92) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(93,32,94,92) x common factors =1 x 8 = 8
LCM(93,32,94,92) = ( 93 × 32 × 94 × 92 ) / 8
LCM(93,32,94,92) = 25736448 / 8
LCM(93,32,94,92) = 3217056
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 18/93, 76/32, 89/94, 54/92?
Answer: GCF of Numerators as per given numbers 18/93, 76/32, 89/94, 54/92 is
GCF of Numerators i.e. for 18,76,89,54 is 1
LCM of denominators i.e. for 93,32,94,92 is 3217056.
Thus, GCF of Fractions is 1/3217056.Finally, GCF of Fractions for 18/93, 76/32, 89/94, 54/92 is 1/3217056.