Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/94,72/43,728/68
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 84,72,728
Greatest Common Factor of Numerators i.e. GCF of 84,72,728 is 4 .
LCM of Denominators means LCM of 94,43,68 as per the given fractions.
LCM of 94,43,68 is 137428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,72,728
2 | 84, 72, 728 |
2 | 42, 36, 364 |
21, 18, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 84,72,728 . The biggest common factor number is the GCF number.
So the greatest common factor 84,72,728 is 4.
Lets's calculate LCM of 94,43,68
2 | 94, 43, 68 |
47, 43, 34 |
∴ So the LCM of the given numbers is 2 x 47 x 43 x 34 = 137428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/137428
Therefore, the GCF of Fractions 84/94,72/43,728/68 is 4/137428
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 94,43,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,43,68) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,43,68) x common factors =1 x 2 = 2
LCM(94,43,68) = ( 94 × 43 × 68 ) / 2
LCM(94,43,68) = 274856 / 2
LCM(94,43,68) = 137428
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 84/94, 72/43, 728/68?
Answer: GCF of Numerators as per given numbers 84/94, 72/43, 728/68 is
GCF of Numerators i.e. for 84,72,728 is 4
LCM of denominators i.e. for 94,43,68 is 137428.
Thus, GCF of Fractions is 4/137428.Finally, GCF of Fractions for 84/94, 72/43, 728/68 is 4/137428.