Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/887,7367/430
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 821,7367
Greatest Common Factor of Numerators i.e. GCF of 821,7367 is 1 .
LCM of Denominators means LCM of 887,430 as per the given fractions.
LCM of 887,430 is 381410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 821,7367
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 7367
List of positive integer factors of 7367 that divides 7367 without a remainder.
1,53,139,7367
Greatest Common Factor
We found the factors 821,7367 . The biggest common factor number is the GCF number.
So the greatest common factor 821,7367 is 1.
Lets's calculate LCM of 887,430
Given numbers has no common factors except 1. So, there LCM is their product i.e 381410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381410
Therefore, the GCF of Fractions 821/887,7367/430 is 1/381410
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 887,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,430) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,430) x common factors =1 x 1 = 1
LCM(887,430) = ( 887 × 430 ) / 1
LCM(887,430) = 381410 / 1
LCM(887,430) = 381410
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 821/887, 7367/430?
Answer: GCF of Numerators as per given numbers 821/887, 7367/430 is
GCF of Numerators i.e. for 821,7367 is 1
LCM of denominators i.e. for 887,430 is 381410.
Thus, GCF of Fractions is 1/381410.Finally, GCF of Fractions for 821/887, 7367/430 is 1/381410.