Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7367/70,1008/809
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 7367,1008
Greatest Common Factor of Numerators i.e. GCF of 7367,1008 is 1 .
LCM of Denominators means LCM of 70,809 as per the given fractions.
LCM of 70,809 is 56630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7367,1008
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7367
List of positive integer factors of 7367 that divides 7367 without a remainder.
1,53,139,7367
Factors of 1008
List of positive integer factors of 1008 that divides 1008 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008
Greatest Common Factor
We found the factors 7367,1008 . The biggest common factor number is the GCF number.
So the greatest common factor 7367,1008 is 1.
Lets's calculate LCM of 70,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 56630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56630
Therefore, the GCF of Fractions 7367/70,1008/809 is 1/56630
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 70,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,809) x common factors =1 x 1 = 1
LCM(70,809) = ( 70 × 809 ) / 1
LCM(70,809) = 56630 / 1
LCM(70,809) = 56630
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 7367/70, 1008/809?
Answer: GCF of Numerators as per given numbers 7367/70, 1008/809 is
GCF of Numerators i.e. for 7367,1008 is 1
LCM of denominators i.e. for 70,809 is 56630.
Thus, GCF of Fractions is 1/56630.Finally, GCF of Fractions for 7367/70, 1008/809 is 1/56630.