Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6949/764,2440/753
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 6949,2440
Greatest Common Factor of Numerators i.e. GCF of 6949,2440 is 1 .
LCM of Denominators means LCM of 764,753 as per the given fractions.
LCM of 764,753 is 575292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6949,2440
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6949
List of positive integer factors of 6949 that divides 6949 without a remainder.
1,6949
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
Greatest Common Factor
We found the factors 6949,2440 . The biggest common factor number is the GCF number.
So the greatest common factor 6949,2440 is 1.
Lets's calculate LCM of 764,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 575292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/575292
Therefore, the GCF of Fractions 6949/764,2440/753 is 1/575292
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 764,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,753) x common factors =1 x 1 = 1
LCM(764,753) = ( 764 × 753 ) / 1
LCM(764,753) = 575292 / 1
LCM(764,753) = 575292
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 6949/764, 2440/753?
Answer: GCF of Numerators as per given numbers 6949/764, 2440/753 is
GCF of Numerators i.e. for 6949,2440 is 1
LCM of denominators i.e. for 764,753 is 575292.
Thus, GCF of Fractions is 1/575292.Finally, GCF of Fractions for 6949/764, 2440/753 is 1/575292.