Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/18,240/97,434/449
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 49,240,434
Greatest Common Factor of Numerators i.e. GCF of 49,240,434 is 1 .
LCM of Denominators means LCM of 18,97,449 as per the given fractions.
LCM of 18,97,449 is 783954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,240,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 49,240,434 . The biggest common factor number is the GCF number.
So the greatest common factor 49,240,434 is 1.
Lets's calculate LCM of 18,97,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 783954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783954
Therefore, the GCF of Fractions 49/18,240/97,434/449 is 1/783954
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 18,97,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,97,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,97,449) x common factors =1 x 1 = 1
LCM(18,97,449) = ( 18 × 97 × 449 ) / 1
LCM(18,97,449) = 783954 / 1
LCM(18,97,449) = 783954
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 49/18, 240/97, 434/449?
Answer: GCF of Numerators as per given numbers 49/18, 240/97, 434/449 is
GCF of Numerators i.e. for 49,240,434 is 1
LCM of denominators i.e. for 18,97,449 is 783954.
Thus, GCF of Fractions is 1/783954.Finally, GCF of Fractions for 49/18, 240/97, 434/449 is 1/783954.