Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/58,27/29,56/70,43/914
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 47,27,56,43
Greatest Common Factor of Numerators i.e. GCF of 47,27,56,43 is 1 .
LCM of Denominators means LCM of 58,29,70,914 as per the given fractions.
LCM of 58,29,70,914 is 927710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,27,56,43
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Greatest Common Factor
We found the factors 47,27,56,43 . The biggest common factor number is the GCF number.
So the greatest common factor 47,27,56,43 is 1.
Lets's calculate LCM of 58,29,70,914
2 | 58, 29, 70, 914 |
29 | 29, 29, 35, 457 |
1, 1, 35, 457 |
∴ So the LCM of the given numbers is 2 x 29 x 1 x 1 x 35 x 457 = 927710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927710
Therefore, the GCF of Fractions 47/58,27/29,56/70,43/914 is 1/927710
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 58,29,70,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,29,70,914) = 1
common factors(in case of two or more numbers have common factors) = 116
GCF(58,29,70,914) x common factors =1 x 116 = 116
LCM(58,29,70,914) = ( 58 × 29 × 70 × 914 ) / 116
LCM(58,29,70,914) = 107614360 / 116
LCM(58,29,70,914) = 927710
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 47/58, 27/29, 56/70, 43/914?
Answer: GCF of Numerators as per given numbers 47/58, 27/29, 56/70, 43/914 is
GCF of Numerators i.e. for 47,27,56,43 is 1
LCM of denominators i.e. for 58,29,70,914 is 927710.
Thus, GCF of Fractions is 1/927710.Finally, GCF of Fractions for 47/58, 27/29, 56/70, 43/914 is 1/927710.