Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/469,662/787
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 257,662
Greatest Common Factor of Numerators i.e. GCF of 257,662 is 1 .
LCM of Denominators means LCM of 469,787 as per the given fractions.
LCM of 469,787 is 369103 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 257,662 . The biggest common factor number is the GCF number.
So the greatest common factor 257,662 is 1.
Lets's calculate LCM of 469,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 369103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/369103
Therefore, the GCF of Fractions 257/469,662/787 is 1/369103
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 469,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,787) x common factors =1 x 1 = 1
LCM(469,787) = ( 469 × 787 ) / 1
LCM(469,787) = 369103 / 1
LCM(469,787) = 369103
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 257/469, 662/787?
Answer: GCF of Numerators as per given numbers 257/469, 662/787 is
GCF of Numerators i.e. for 257,662 is 1
LCM of denominators i.e. for 469,787 is 369103.
Thus, GCF of Fractions is 1/369103.Finally, GCF of Fractions for 257/469, 662/787 is 1/369103.