Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2704/889,9637/7839
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 2704,9637
Greatest Common Factor of Numerators i.e. GCF of 2704,9637 is 1 .
LCM of Denominators means LCM of 889,7839 as per the given fractions.
LCM of 889,7839 is 6968871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2704,9637
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2704
List of positive integer factors of 2704 that divides 2704 without a remainder.
1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704
Factors of 9637
List of positive integer factors of 9637 that divides 9637 without a remainder.
1,23,419,9637
Greatest Common Factor
We found the factors 2704,9637 . The biggest common factor number is the GCF number.
So the greatest common factor 2704,9637 is 1.
Lets's calculate LCM of 889,7839
Given numbers has no common factors except 1. So, there LCM is their product i.e 6968871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6968871
Therefore, the GCF of Fractions 2704/889,9637/7839 is 1/6968871
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 889,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,7839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,7839) x common factors =1 x 1 = 1
LCM(889,7839) = ( 889 × 7839 ) / 1
LCM(889,7839) = 6968871 / 1
LCM(889,7839) = 6968871
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 2704/889, 9637/7839?
Answer: GCF of Numerators as per given numbers 2704/889, 9637/7839 is
GCF of Numerators i.e. for 2704,9637 is 1
LCM of denominators i.e. for 889,7839 is 6968871.
Thus, GCF of Fractions is 1/6968871.Finally, GCF of Fractions for 2704/889, 9637/7839 is 1/6968871.