Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 246/60,421/52,249/597
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 246,421,249
Greatest Common Factor of Numerators i.e. GCF of 246,421,249 is 1 .
LCM of Denominators means LCM of 60,52,597 as per the given fractions.
LCM of 60,52,597 is 155220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 246,421,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 246,421,249 . The biggest common factor number is the GCF number.
So the greatest common factor 246,421,249 is 1.
Lets's calculate LCM of 60,52,597
2 | 60, 52, 597 |
2 | 30, 26, 597 |
3 | 15, 13, 597 |
5, 13, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 199 = 155220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155220
Therefore, the GCF of Fractions 246/60,421/52,249/597 is 1/155220
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 60,52,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,52,597) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(60,52,597) x common factors =1 x 12 = 12
LCM(60,52,597) = ( 60 × 52 × 597 ) / 12
LCM(60,52,597) = 1862640 / 12
LCM(60,52,597) = 155220
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 246/60, 421/52, 249/597?
Answer: GCF of Numerators as per given numbers 246/60, 421/52, 249/597 is
GCF of Numerators i.e. for 246,421,249 is 1
LCM of denominators i.e. for 60,52,597 is 155220.
Thus, GCF of Fractions is 1/155220.Finally, GCF of Fractions for 246/60, 421/52, 249/597 is 1/155220.