Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2440/64,4351/757
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 2440,4351
Greatest Common Factor of Numerators i.e. GCF of 2440,4351 is 1 .
LCM of Denominators means LCM of 64,757 as per the given fractions.
LCM of 64,757 is 48448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2440,4351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2440
List of positive integer factors of 2440 that divides 2440 without a remainder.
1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440
Factors of 4351
List of positive integer factors of 4351 that divides 4351 without a remainder.
1,19,229,4351
Greatest Common Factor
We found the factors 2440,4351 . The biggest common factor number is the GCF number.
So the greatest common factor 2440,4351 is 1.
Lets's calculate LCM of 64,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 48448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48448
Therefore, the GCF of Fractions 2440/64,4351/757 is 1/48448
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 64,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,757) x common factors =1 x 1 = 1
LCM(64,757) = ( 64 × 757 ) / 1
LCM(64,757) = 48448 / 1
LCM(64,757) = 48448
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 2440/64, 4351/757?
Answer: GCF of Numerators as per given numbers 2440/64, 4351/757 is
GCF of Numerators i.e. for 2440,4351 is 1
LCM of denominators i.e. for 64,757 is 48448.
Thus, GCF of Fractions is 1/48448.Finally, GCF of Fractions for 2440/64, 4351/757 is 1/48448.