Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1424/797,4967/5619
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 1424,4967
Greatest Common Factor of Numerators i.e. GCF of 1424,4967 is 1 .
LCM of Denominators means LCM of 797,5619 as per the given fractions.
LCM of 797,5619 is 4478343 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1424,4967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1424
List of positive integer factors of 1424 that divides 1424 without a remainder.
1,2,4,8,16,89,178,356,712,1424
Factors of 4967
List of positive integer factors of 4967 that divides 4967 without a remainder.
1,4967
Greatest Common Factor
We found the factors 1424,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 1424,4967 is 1.
Lets's calculate LCM of 797,5619
Given numbers has no common factors except 1. So, there LCM is their product i.e 4478343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4478343
Therefore, the GCF of Fractions 1424/797,4967/5619 is 1/4478343
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 797,5619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,5619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,5619) x common factors =1 x 1 = 1
LCM(797,5619) = ( 797 × 5619 ) / 1
LCM(797,5619) = 4478343 / 1
LCM(797,5619) = 4478343
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 1424/797, 4967/5619?
Answer: GCF of Numerators as per given numbers 1424/797, 4967/5619 is
GCF of Numerators i.e. for 1424,4967 is 1
LCM of denominators i.e. for 797,5619 is 4478343.
Thus, GCF of Fractions is 1/4478343.Finally, GCF of Fractions for 1424/797, 4967/5619 is 1/4478343.