Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3428/846,5255/4910
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 3428,5255
Greatest Common Factor of Numerators i.e. GCF of 3428,5255 is 1 .
LCM of Denominators means LCM of 846,4910 as per the given fractions.
LCM of 846,4910 is 2076930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3428,5255
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3428
List of positive integer factors of 3428 that divides 3428 without a remainder.
1,2,4,857,1714,3428
Factors of 5255
List of positive integer factors of 5255 that divides 5255 without a remainder.
1,5,1051,5255
Greatest Common Factor
We found the factors 3428,5255 . The biggest common factor number is the GCF number.
So the greatest common factor 3428,5255 is 1.
Lets's calculate LCM of 846,4910
2 | 846, 4910 |
423, 2455 |
∴ So the LCM of the given numbers is 2 x 423 x 2455 = 2076930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2076930
Therefore, the GCF of Fractions 3428/846,5255/4910 is 1/2076930
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 846,4910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,4910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,4910) x common factors =2 x 1 = 2
LCM(846,4910) = ( 846 × 4910 ) / 2
LCM(846,4910) = 4153860 / 2
LCM(846,4910) = 2076930
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 3428/846, 5255/4910?
Answer: GCF of Numerators as per given numbers 3428/846, 5255/4910 is
GCF of Numerators i.e. for 3428,5255 is 1
LCM of denominators i.e. for 846,4910 is 2076930.
Thus, GCF of Fractions is 1/2076930.Finally, GCF of Fractions for 3428/846, 5255/4910 is 1/2076930.