Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/427,484/811
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 61,484
Greatest Common Factor of Numerators i.e. GCF of 61,484 is 1 .
LCM of Denominators means LCM of 427,811 as per the given fractions.
LCM of 427,811 is 346297 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,484
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Greatest Common Factor
We found the factors 61,484 . The biggest common factor number is the GCF number.
So the greatest common factor 61,484 is 1.
Lets's calculate LCM of 427,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 346297
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346297
Therefore, the GCF of Fractions 61/427,484/811 is 1/346297
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 427,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,811) x common factors =1 x 1 = 1
LCM(427,811) = ( 427 × 811 ) / 1
LCM(427,811) = 346297 / 1
LCM(427,811) = 346297
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 61/427, 484/811?
Answer: GCF of Numerators as per given numbers 61/427, 484/811 is
GCF of Numerators i.e. for 61,484 is 1
LCM of denominators i.e. for 427,811 is 346297.
Thus, GCF of Fractions is 1/346297.Finally, GCF of Fractions for 61/427, 484/811 is 1/346297.