Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/12,241/78,463/373
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 145,241,463
Greatest Common Factor of Numerators i.e. GCF of 145,241,463 is 1 .
LCM of Denominators means LCM of 12,78,373 as per the given fractions.
LCM of 12,78,373 is 58188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 145,241,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 145,241,463 . The biggest common factor number is the GCF number.
So the greatest common factor 145,241,463 is 1.
Lets's calculate LCM of 12,78,373
2 | 12, 78, 373 |
3 | 6, 39, 373 |
2, 13, 373 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 13 x 373 = 58188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58188
Therefore, the GCF of Fractions 145/12,241/78,463/373 is 1/58188
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 12,78,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,78,373) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,78,373) x common factors =1 x 6 = 6
LCM(12,78,373) = ( 12 × 78 × 373 ) / 6
LCM(12,78,373) = 349128 / 6
LCM(12,78,373) = 58188
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 145/12, 241/78, 463/373?
Answer: GCF of Numerators as per given numbers 145/12, 241/78, 463/373 is
GCF of Numerators i.e. for 145,241,463 is 1
LCM of denominators i.e. for 12,78,373 is 58188.
Thus, GCF of Fractions is 1/58188.Finally, GCF of Fractions for 145/12, 241/78, 463/373 is 1/58188.