Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 367/788,257/703
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 367,257
Greatest Common Factor of Numerators i.e. GCF of 367,257 is 1 .
LCM of Denominators means LCM of 788,703 as per the given fractions.
LCM of 788,703 is 553964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 367,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 367,257 . The biggest common factor number is the GCF number.
So the greatest common factor 367,257 is 1.
Lets's calculate LCM of 788,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 553964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553964
Therefore, the GCF of Fractions 367/788,257/703 is 1/553964
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 788,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,703) x common factors =1 x 1 = 1
LCM(788,703) = ( 788 × 703 ) / 1
LCM(788,703) = 553964 / 1
LCM(788,703) = 553964
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 367/788, 257/703?
Answer: GCF of Numerators as per given numbers 367/788, 257/703 is
GCF of Numerators i.e. for 367,257 is 1
LCM of denominators i.e. for 788,703 is 553964.
Thus, GCF of Fractions is 1/553964.Finally, GCF of Fractions for 367/788, 257/703 is 1/553964.