Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 904/2721,874/1754
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 904,874
Greatest Common Factor of Numerators i.e. GCF of 904,874 is 2 .
LCM of Denominators means LCM of 2721,1754 as per the given fractions.
LCM of 2721,1754 is 4772634 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 904,874
2 | 904, 874 |
452, 437 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 904,874 . The biggest common factor number is the GCF number.
So the greatest common factor 904,874 is 2.
Lets's calculate LCM of 2721,1754
Given numbers has no common factors except 1. So, there LCM is their product i.e 4772634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4772634
Therefore, the GCF of Fractions 904/2721,874/1754 is 2/4772634
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 2721,1754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2721,1754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2721,1754) x common factors =1 x 1 = 1
LCM(2721,1754) = ( 2721 × 1754 ) / 1
LCM(2721,1754) = 4772634 / 1
LCM(2721,1754) = 4772634
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 904/2721, 874/1754?
Answer: GCF of Numerators as per given numbers 904/2721, 874/1754 is
GCF of Numerators i.e. for 904,874 is 2
LCM of denominators i.e. for 2721,1754 is 4772634.
Thus, GCF of Fractions is 2/4772634.Finally, GCF of Fractions for 904/2721, 874/1754 is 2/4772634.