Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 276/683,721/711
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 276,721
Greatest Common Factor of Numerators i.e. GCF of 276,721 is 1 .
LCM of Denominators means LCM of 683,711 as per the given fractions.
LCM of 683,711 is 485613 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 276,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Greatest Common Factor
We found the factors 276,721 . The biggest common factor number is the GCF number.
So the greatest common factor 276,721 is 1.
Lets's calculate LCM of 683,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 485613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485613
Therefore, the GCF of Fractions 276/683,721/711 is 1/485613
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 683,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,711) x common factors =1 x 1 = 1
LCM(683,711) = ( 683 × 711 ) / 1
LCM(683,711) = 485613 / 1
LCM(683,711) = 485613
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 276/683, 721/711?
Answer: GCF of Numerators as per given numbers 276/683, 721/711 is
GCF of Numerators i.e. for 276,721 is 1
LCM of denominators i.e. for 683,711 is 485613.
Thus, GCF of Fractions is 1/485613.Finally, GCF of Fractions for 276/683, 721/711 is 1/485613.