Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2976/258,4594/362
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 2976,4594
Greatest Common Factor of Numerators i.e. GCF of 2976,4594 is 2 .
LCM of Denominators means LCM of 258,362 as per the given fractions.
LCM of 258,362 is 46698 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2976,4594
2 | 2976, 4594 |
1488, 2297 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2976
List of positive integer factors of 2976 that divides 2976 without a remainder.
1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976
Factors of 4594
List of positive integer factors of 4594 that divides 4594 without a remainder.
1,2,2297,4594
Greatest Common Factor
We found the factors 2976,4594 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,4594 is 2.
Lets's calculate LCM of 258,362
2 | 258, 362 |
129, 181 |
∴ So the LCM of the given numbers is 2 x 129 x 181 = 46698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46698
Therefore, the GCF of Fractions 2976/258,4594/362 is 2/46698
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 258,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,362) x common factors =2 x 1 = 2
LCM(258,362) = ( 258 × 362 ) / 2
LCM(258,362) = 93396 / 2
LCM(258,362) = 46698
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 2976/258, 4594/362?
Answer: GCF of Numerators as per given numbers 2976/258, 4594/362 is
GCF of Numerators i.e. for 2976,4594 is 2
LCM of denominators i.e. for 258,362 is 46698.
Thus, GCF of Fractions is 2/46698.Finally, GCF of Fractions for 2976/258, 4594/362 is 2/46698.