Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 597/6823,275/6412
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 597,275
Greatest Common Factor of Numerators i.e. GCF of 597,275 is 1 .
LCM of Denominators means LCM of 6823,6412 as per the given fractions.
LCM of 6823,6412 is 43749076 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 597,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 597,275 . The biggest common factor number is the GCF number.
So the greatest common factor 597,275 is 1.
Lets's calculate LCM of 6823,6412
Given numbers has no common factors except 1. So, there LCM is their product i.e 43749076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43749076
Therefore, the GCF of Fractions 597/6823,275/6412 is 1/43749076
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 6823,6412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6823,6412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6823,6412) x common factors =1 x 1 = 1
LCM(6823,6412) = ( 6823 × 6412 ) / 1
LCM(6823,6412) = 43749076 / 1
LCM(6823,6412) = 43749076
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 597/6823, 275/6412?
Answer: GCF of Numerators as per given numbers 597/6823, 275/6412 is
GCF of Numerators i.e. for 597,275 is 1
LCM of denominators i.e. for 6823,6412 is 43749076.
Thus, GCF of Fractions is 1/43749076.Finally, GCF of Fractions for 597/6823, 275/6412 is 1/43749076.