Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 747/279,7697/971
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 747,7697
Greatest Common Factor of Numerators i.e. GCF of 747,7697 is 1 .
LCM of Denominators means LCM of 279,971 as per the given fractions.
LCM of 279,971 is 270909 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 747,7697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 7697
List of positive integer factors of 7697 that divides 7697 without a remainder.
1,43,179,7697
Greatest Common Factor
We found the factors 747,7697 . The biggest common factor number is the GCF number.
So the greatest common factor 747,7697 is 1.
Lets's calculate LCM of 279,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 270909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270909
Therefore, the GCF of Fractions 747/279,7697/971 is 1/270909
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 279,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,971) x common factors =1 x 1 = 1
LCM(279,971) = ( 279 × 971 ) / 1
LCM(279,971) = 270909 / 1
LCM(279,971) = 270909
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 747/279, 7697/971?
Answer: GCF of Numerators as per given numbers 747/279, 7697/971 is
GCF of Numerators i.e. for 747,7697 is 1
LCM of denominators i.e. for 279,971 is 270909.
Thus, GCF of Fractions is 1/270909.Finally, GCF of Fractions for 747/279, 7697/971 is 1/270909.