Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/696,2999/2701
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 110,2999
Greatest Common Factor of Numerators i.e. GCF of 110,2999 is 1 .
LCM of Denominators means LCM of 696,2701 as per the given fractions.
LCM of 696,2701 is 1879896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,2999
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 2999
List of positive integer factors of 2999 that divides 2999 without a remainder.
1,2999
Greatest Common Factor
We found the factors 110,2999 . The biggest common factor number is the GCF number.
So the greatest common factor 110,2999 is 1.
Lets's calculate LCM of 696,2701
Given numbers has no common factors except 1. So, there LCM is their product i.e 1879896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1879896
Therefore, the GCF of Fractions 110/696,2999/2701 is 1/1879896
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 696,2701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,2701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,2701) x common factors =1 x 1 = 1
LCM(696,2701) = ( 696 × 2701 ) / 1
LCM(696,2701) = 1879896 / 1
LCM(696,2701) = 1879896
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 110/696, 2999/2701?
Answer: GCF of Numerators as per given numbers 110/696, 2999/2701 is
GCF of Numerators i.e. for 110,2999 is 1
LCM of denominators i.e. for 696,2701 is 1879896.
Thus, GCF of Fractions is 1/1879896.Finally, GCF of Fractions for 110/696, 2999/2701 is 1/1879896.