Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6963/53,4846/170
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 6963,4846
Greatest Common Factor of Numerators i.e. GCF of 6963,4846 is 1 .
LCM of Denominators means LCM of 53,170 as per the given fractions.
LCM of 53,170 is 9010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6963,4846
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6963
List of positive integer factors of 6963 that divides 6963 without a remainder.
1,3,11,33,211,633,2321,6963
Factors of 4846
List of positive integer factors of 4846 that divides 4846 without a remainder.
1,2,2423,4846
Greatest Common Factor
We found the factors 6963,4846 . The biggest common factor number is the GCF number.
So the greatest common factor 6963,4846 is 1.
Lets's calculate LCM of 53,170
Given numbers has no common factors except 1. So, there LCM is their product i.e 9010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9010
Therefore, the GCF of Fractions 6963/53,4846/170 is 1/9010
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 53,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,170) x common factors =1 x 1 = 1
LCM(53,170) = ( 53 × 170 ) / 1
LCM(53,170) = 9010 / 1
LCM(53,170) = 9010
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 6963/53, 4846/170?
Answer: GCF of Numerators as per given numbers 6963/53, 4846/170 is
GCF of Numerators i.e. for 6963,4846 is 1
LCM of denominators i.e. for 53,170 is 9010.
Thus, GCF of Fractions is 1/9010.Finally, GCF of Fractions for 6963/53, 4846/170 is 1/9010.