Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 487/971,2844/813
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 487,2844
Greatest Common Factor of Numerators i.e. GCF of 487,2844 is 1 .
LCM of Denominators means LCM of 971,813 as per the given fractions.
LCM of 971,813 is 789423 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 487,2844
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 2844
List of positive integer factors of 2844 that divides 2844 without a remainder.
1,2,3,4,6,9,12,18,36,79,158,237,316,474,711,948,1422,2844
Greatest Common Factor
We found the factors 487,2844 . The biggest common factor number is the GCF number.
So the greatest common factor 487,2844 is 1.
Lets's calculate LCM of 971,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 789423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789423
Therefore, the GCF of Fractions 487/971,2844/813 is 1/789423
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 971,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,813) x common factors =1 x 1 = 1
LCM(971,813) = ( 971 × 813 ) / 1
LCM(971,813) = 789423 / 1
LCM(971,813) = 789423
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 487/971, 2844/813?
Answer: GCF of Numerators as per given numbers 487/971, 2844/813 is
GCF of Numerators i.e. for 487,2844 is 1
LCM of denominators i.e. for 971,813 is 789423.
Thus, GCF of Fractions is 1/789423.Finally, GCF of Fractions for 487/971, 2844/813 is 1/789423.