Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1210/151,6691/5051
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 1210,6691
Greatest Common Factor of Numerators i.e. GCF of 1210,6691 is 1 .
LCM of Denominators means LCM of 151,5051 as per the given fractions.
LCM of 151,5051 is 762701 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1210,6691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1210
List of positive integer factors of 1210 that divides 1210 without a remainder.
1,2,5,10,11,22,55,110,121,242,605,1210
Factors of 6691
List of positive integer factors of 6691 that divides 6691 without a remainder.
1,6691
Greatest Common Factor
We found the factors 1210,6691 . The biggest common factor number is the GCF number.
So the greatest common factor 1210,6691 is 1.
Lets's calculate LCM of 151,5051
Given numbers has no common factors except 1. So, there LCM is their product i.e 762701
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762701
Therefore, the GCF of Fractions 1210/151,6691/5051 is 1/762701
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 151,5051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,5051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,5051) x common factors =1 x 1 = 1
LCM(151,5051) = ( 151 × 5051 ) / 1
LCM(151,5051) = 762701 / 1
LCM(151,5051) = 762701
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 1210/151, 6691/5051?
Answer: GCF of Numerators as per given numbers 1210/151, 6691/5051 is
GCF of Numerators i.e. for 1210,6691 is 1
LCM of denominators i.e. for 151,5051 is 762701.
Thus, GCF of Fractions is 1/762701.Finally, GCF of Fractions for 1210/151, 6691/5051 is 1/762701.