Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/418,76/493,838/436
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 44,76,838
Greatest Common Factor of Numerators i.e. GCF of 44,76,838 is 2 .
LCM of Denominators means LCM of 418,493,436 as per the given fractions.
LCM of 418,493,436 is 44924132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,76,838
2 | 44, 76, 838 |
22, 38, 419 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 44,76,838 . The biggest common factor number is the GCF number.
So the greatest common factor 44,76,838 is 2.
Lets's calculate LCM of 418,493,436
2 | 418, 493, 436 |
209, 493, 218 |
∴ So the LCM of the given numbers is 2 x 209 x 493 x 218 = 44924132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44924132
Therefore, the GCF of Fractions 44/418,76/493,838/436 is 2/44924132
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 418,493,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,493,436) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(418,493,436) x common factors =1 x 2 = 2
LCM(418,493,436) = ( 418 × 493 × 436 ) / 2
LCM(418,493,436) = 89848264 / 2
LCM(418,493,436) = 44924132
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 44/418, 76/493, 838/436?
Answer: GCF of Numerators as per given numbers 44/418, 76/493, 838/436 is
GCF of Numerators i.e. for 44,76,838 is 2
LCM of denominators i.e. for 418,493,436 is 44924132.
Thus, GCF of Fractions is 2/44924132.Finally, GCF of Fractions for 44/418, 76/493, 838/436 is 2/44924132.