Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5862/929,7963/228
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 5862,7963
Greatest Common Factor of Numerators i.e. GCF of 5862,7963 is 1 .
LCM of Denominators means LCM of 929,228 as per the given fractions.
LCM of 929,228 is 211812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5862,7963
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5862
List of positive integer factors of 5862 that divides 5862 without a remainder.
1,2,3,6,977,1954,2931,5862
Factors of 7963
List of positive integer factors of 7963 that divides 7963 without a remainder.
1,7963
Greatest Common Factor
We found the factors 5862,7963 . The biggest common factor number is the GCF number.
So the greatest common factor 5862,7963 is 1.
Lets's calculate LCM of 929,228
Given numbers has no common factors except 1. So, there LCM is their product i.e 211812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211812
Therefore, the GCF of Fractions 5862/929,7963/228 is 1/211812
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 929,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,228) x common factors =1 x 1 = 1
LCM(929,228) = ( 929 × 228 ) / 1
LCM(929,228) = 211812 / 1
LCM(929,228) = 211812
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 5862/929, 7963/228?
Answer: GCF of Numerators as per given numbers 5862/929, 7963/228 is
GCF of Numerators i.e. for 5862,7963 is 1
LCM of denominators i.e. for 929,228 is 211812.
Thus, GCF of Fractions is 1/211812.Finally, GCF of Fractions for 5862/929, 7963/228 is 1/211812.