Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/633,298/677,337/940
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 847,298,337
Greatest Common Factor of Numerators i.e. GCF of 847,298,337 is 1 .
LCM of Denominators means LCM of 633,677,940 as per the given fractions.
LCM of 633,677,940 is 402828540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,298,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 847,298,337 . The biggest common factor number is the GCF number.
So the greatest common factor 847,298,337 is 1.
Lets's calculate LCM of 633,677,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 402828540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402828540
Therefore, the GCF of Fractions 847/633,298/677,337/940 is 1/402828540
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 633,677,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,677,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,677,940) x common factors =1 x 1 = 1
LCM(633,677,940) = ( 633 × 677 × 940 ) / 1
LCM(633,677,940) = 402828540 / 1
LCM(633,677,940) = 402828540
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 847/633, 298/677, 337/940?
Answer: GCF of Numerators as per given numbers 847/633, 298/677, 337/940 is
GCF of Numerators i.e. for 847,298,337 is 1
LCM of denominators i.e. for 633,677,940 is 402828540.
Thus, GCF of Fractions is 1/402828540.Finally, GCF of Fractions for 847/633, 298/677, 337/940 is 1/402828540.