Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2279/429,3924/643
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 2279,3924
Greatest Common Factor of Numerators i.e. GCF of 2279,3924 is 1 .
LCM of Denominators means LCM of 429,643 as per the given fractions.
LCM of 429,643 is 275847 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2279,3924
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2279
List of positive integer factors of 2279 that divides 2279 without a remainder.
1,43,53,2279
Factors of 3924
List of positive integer factors of 3924 that divides 3924 without a remainder.
1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924
Greatest Common Factor
We found the factors 2279,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 2279,3924 is 1.
Lets's calculate LCM of 429,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 275847
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275847
Therefore, the GCF of Fractions 2279/429,3924/643 is 1/275847
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 429,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,643) x common factors =1 x 1 = 1
LCM(429,643) = ( 429 × 643 ) / 1
LCM(429,643) = 275847 / 1
LCM(429,643) = 275847
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 2279/429, 3924/643?
Answer: GCF of Numerators as per given numbers 2279/429, 3924/643 is
GCF of Numerators i.e. for 2279,3924 is 1
LCM of denominators i.e. for 429,643 is 275847.
Thus, GCF of Fractions is 1/275847.Finally, GCF of Fractions for 2279/429, 3924/643 is 1/275847.