Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 499/8426,271/5447
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 499,271
Greatest Common Factor of Numerators i.e. GCF of 499,271 is 1 .
LCM of Denominators means LCM of 8426,5447 as per the given fractions.
LCM of 8426,5447 is 45896422 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 499,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 499,271 . The biggest common factor number is the GCF number.
So the greatest common factor 499,271 is 1.
Lets's calculate LCM of 8426,5447
Given numbers has no common factors except 1. So, there LCM is their product i.e 45896422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45896422
Therefore, the GCF of Fractions 499/8426,271/5447 is 1/45896422
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 8426,5447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8426,5447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8426,5447) x common factors =1 x 1 = 1
LCM(8426,5447) = ( 8426 × 5447 ) / 1
LCM(8426,5447) = 45896422 / 1
LCM(8426,5447) = 45896422
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 499/8426, 271/5447?
Answer: GCF of Numerators as per given numbers 499/8426, 271/5447 is
GCF of Numerators i.e. for 499,271 is 1
LCM of denominators i.e. for 8426,5447 is 45896422.
Thus, GCF of Fractions is 1/45896422.Finally, GCF of Fractions for 499/8426, 271/5447 is 1/45896422.