Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/532,143/753,318/546
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 12,143,318
Greatest Common Factor of Numerators i.e. GCF of 12,143,318 is 1 .
LCM of Denominators means LCM of 532,753,546 as per the given fractions.
LCM of 532,753,546 is 5207748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,143,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 12,143,318 . The biggest common factor number is the GCF number.
So the greatest common factor 12,143,318 is 1.
Lets's calculate LCM of 532,753,546
2 | 532, 753, 546 |
3 | 266, 753, 273 |
7 | 266, 251, 91 |
38, 251, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 38 x 251 x 13 = 5207748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5207748
Therefore, the GCF of Fractions 12/532,143/753,318/546 is 1/5207748
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 532,753,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,753,546) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(532,753,546) x common factors =1 x 42 = 42
LCM(532,753,546) = ( 532 × 753 × 546 ) / 42
LCM(532,753,546) = 218725416 / 42
LCM(532,753,546) = 5207748
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 12/532, 143/753, 318/546?
Answer: GCF of Numerators as per given numbers 12/532, 143/753, 318/546 is
GCF of Numerators i.e. for 12,143,318 is 1
LCM of denominators i.e. for 532,753,546 is 5207748.
Thus, GCF of Fractions is 1/5207748.Finally, GCF of Fractions for 12/532, 143/753, 318/546 is 1/5207748.