Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/76,81/28,84/89,74/428
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 18,81,84,74
Greatest Common Factor of Numerators i.e. GCF of 18,81,84,74 is 1 .
LCM of Denominators means LCM of 76,28,89,428 as per the given fractions.
LCM of 76,28,89,428 is 5066236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,81,84,74
∴ 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 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Greatest Common Factor
We found the factors 18,81,84,74 . The biggest common factor number is the GCF number.
So the greatest common factor 18,81,84,74 is 1.
Lets's calculate LCM of 76,28,89,428
2 | 76, 28, 89, 428 |
2 | 38, 14, 89, 214 |
19, 7, 89, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 7 x 89 x 107 = 5066236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5066236
Therefore, the GCF of Fractions 18/76,81/28,84/89,74/428 is 1/5066236
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 76,28,89,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,28,89,428) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(76,28,89,428) x common factors =1 x 16 = 16
LCM(76,28,89,428) = ( 76 × 28 × 89 × 428 ) / 16
LCM(76,28,89,428) = 81059776 / 16
LCM(76,28,89,428) = 5066236
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 18/76, 81/28, 84/89, 74/428?
Answer: GCF of Numerators as per given numbers 18/76, 81/28, 84/89, 74/428 is
GCF of Numerators i.e. for 18,81,84,74 is 1
LCM of denominators i.e. for 76,28,89,428 is 5066236.
Thus, GCF of Fractions is 1/5066236.Finally, GCF of Fractions for 18/76, 81/28, 84/89, 74/428 is 1/5066236.