Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/74,84/47,87/94,914/96
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 14,84,87,914
Greatest Common Factor of Numerators i.e. GCF of 14,84,87,914 is 1 .
LCM of Denominators means LCM of 74,47,94,96 as per the given fractions.
LCM of 74,47,94,96 is 166944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,84,87,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
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 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 14,84,87,914 . The biggest common factor number is the GCF number.
So the greatest common factor 14,84,87,914 is 1.
Lets's calculate LCM of 74,47,94,96
2 | 74, 47, 94, 96 |
47 | 37, 47, 47, 48 |
37, 1, 1, 48 |
∴ So the LCM of the given numbers is 2 x 47 x 37 x 1 x 1 x 48 = 166944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166944
Therefore, the GCF of Fractions 14/74,84/47,87/94,914/96 is 1/166944
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 74,47,94,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,47,94,96) = 1
common factors(in case of two or more numbers have common factors) = 188
GCF(74,47,94,96) x common factors =1 x 188 = 188
LCM(74,47,94,96) = ( 74 × 47 × 94 × 96 ) / 188
LCM(74,47,94,96) = 31385472 / 188
LCM(74,47,94,96) = 166944
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 14/74, 84/47, 87/94, 914/96?
Answer: GCF of Numerators as per given numbers 14/74, 84/47, 87/94, 914/96 is
GCF of Numerators i.e. for 14,84,87,914 is 1
LCM of denominators i.e. for 74,47,94,96 is 166944.
Thus, GCF of Fractions is 1/166944.Finally, GCF of Fractions for 14/74, 84/47, 87/94, 914/96 is 1/166944.