Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/295,457/662,518/554
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 44,457,518
Greatest Common Factor of Numerators i.e. GCF of 44,457,518 is 1 .
LCM of Denominators means LCM of 295,662,554 as per the given fractions.
LCM of 295,662,554 is 54095330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,457,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 44,457,518 . The biggest common factor number is the GCF number.
So the greatest common factor 44,457,518 is 1.
Lets's calculate LCM of 295,662,554
2 | 295, 662, 554 |
295, 331, 277 |
∴ So the LCM of the given numbers is 2 x 295 x 331 x 277 = 54095330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54095330
Therefore, the GCF of Fractions 44/295,457/662,518/554 is 1/54095330
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 295,662,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,662,554) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(295,662,554) x common factors =1 x 2 = 2
LCM(295,662,554) = ( 295 × 662 × 554 ) / 2
LCM(295,662,554) = 108190660 / 2
LCM(295,662,554) = 54095330
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 44/295, 457/662, 518/554?
Answer: GCF of Numerators as per given numbers 44/295, 457/662, 518/554 is
GCF of Numerators i.e. for 44,457,518 is 1
LCM of denominators i.e. for 295,662,554 is 54095330.
Thus, GCF of Fractions is 1/54095330.Finally, GCF of Fractions for 44/295, 457/662, 518/554 is 1/54095330.