Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/52,29/93,44/47,934/12
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 51,29,44,934
Greatest Common Factor of Numerators i.e. GCF of 51,29,44,934 is 1 .
LCM of Denominators means LCM of 52,93,47,12 as per the given fractions.
LCM of 52,93,47,12 is 227292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,29,44,934
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 51,29,44,934 . The biggest common factor number is the GCF number.
So the greatest common factor 51,29,44,934 is 1.
Lets's calculate LCM of 52,93,47,12
2 | 52, 93, 47, 12 |
2 | 26, 93, 47, 6 |
3 | 13, 93, 47, 3 |
13, 31, 47, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 31 x 47 x 1 = 227292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227292
Therefore, the GCF of Fractions 51/52,29/93,44/47,934/12 is 1/227292
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 52,93,47,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,93,47,12) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(52,93,47,12) x common factors =1 x 12 = 12
LCM(52,93,47,12) = ( 52 × 93 × 47 × 12 ) / 12
LCM(52,93,47,12) = 2727504 / 12
LCM(52,93,47,12) = 227292
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 51/52, 29/93, 44/47, 934/12?
Answer: GCF of Numerators as per given numbers 51/52, 29/93, 44/47, 934/12 is
GCF of Numerators i.e. for 51,29,44,934 is 1
LCM of denominators i.e. for 52,93,47,12 is 227292.
Thus, GCF of Fractions is 1/227292.Finally, GCF of Fractions for 51/52, 29/93, 44/47, 934/12 is 1/227292.