Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/440,344/343,133/364
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 506,344,133
Greatest Common Factor of Numerators i.e. GCF of 506,344,133 is 1 .
LCM of Denominators means LCM of 440,343,364 as per the given fractions.
LCM of 440,343,364 is 1961960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,344,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 506,344,133 . The biggest common factor number is the GCF number.
So the greatest common factor 506,344,133 is 1.
Lets's calculate LCM of 440,343,364
2 | 440, 343, 364 |
2 | 220, 343, 182 |
7 | 110, 343, 91 |
110, 49, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 110 x 49 x 13 = 1961960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1961960
Therefore, the GCF of Fractions 506/440,344/343,133/364 is 1/1961960
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 440,343,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,343,364) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(440,343,364) x common factors =1 x 28 = 28
LCM(440,343,364) = ( 440 × 343 × 364 ) / 28
LCM(440,343,364) = 54934880 / 28
LCM(440,343,364) = 1961960
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 506/440, 344/343, 133/364?
Answer: GCF of Numerators as per given numbers 506/440, 344/343, 133/364 is
GCF of Numerators i.e. for 506,344,133 is 1
LCM of denominators i.e. for 440,343,364 is 1961960.
Thus, GCF of Fractions is 1/1961960.Finally, GCF of Fractions for 506/440, 344/343, 133/364 is 1/1961960.