Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2927/793,2442/3677
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 2927,2442
Greatest Common Factor of Numerators i.e. GCF of 2927,2442 is 1 .
LCM of Denominators means LCM of 793,3677 as per the given fractions.
LCM of 793,3677 is 2915861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2927,2442
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2927
List of positive integer factors of 2927 that divides 2927 without a remainder.
1,2927
Factors of 2442
List of positive integer factors of 2442 that divides 2442 without a remainder.
1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442
Greatest Common Factor
We found the factors 2927,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 2927,2442 is 1.
Lets's calculate LCM of 793,3677
Given numbers has no common factors except 1. So, there LCM is their product i.e 2915861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2915861
Therefore, the GCF of Fractions 2927/793,2442/3677 is 1/2915861
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 793,3677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,3677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,3677) x common factors =1 x 1 = 1
LCM(793,3677) = ( 793 × 3677 ) / 1
LCM(793,3677) = 2915861 / 1
LCM(793,3677) = 2915861
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 2927/793, 2442/3677?
Answer: GCF of Numerators as per given numbers 2927/793, 2442/3677 is
GCF of Numerators i.e. for 2927,2442 is 1
LCM of denominators i.e. for 793,3677 is 2915861.
Thus, GCF of Fractions is 1/2915861.Finally, GCF of Fractions for 2927/793, 2442/3677 is 1/2915861.