Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3454/855,8912/6581
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 3454,8912
Greatest Common Factor of Numerators i.e. GCF of 3454,8912 is 2 .
LCM of Denominators means LCM of 855,6581 as per the given fractions.
LCM of 855,6581 is 5626755 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3454,8912
2 | 3454, 8912 |
1727, 4456 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3454
List of positive integer factors of 3454 that divides 3454 without a remainder.
1,2,11,22,157,314,1727,3454
Factors of 8912
List of positive integer factors of 8912 that divides 8912 without a remainder.
1,2,4,8,16,557,1114,2228,4456,8912
Greatest Common Factor
We found the factors 3454,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 3454,8912 is 2.
Lets's calculate LCM of 855,6581
Given numbers has no common factors except 1. So, there LCM is their product i.e 5626755
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5626755
Therefore, the GCF of Fractions 3454/855,8912/6581 is 2/5626755
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 855,6581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,6581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,6581) x common factors =1 x 1 = 1
LCM(855,6581) = ( 855 × 6581 ) / 1
LCM(855,6581) = 5626755 / 1
LCM(855,6581) = 5626755
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 3454/855, 8912/6581?
Answer: GCF of Numerators as per given numbers 3454/855, 8912/6581 is
GCF of Numerators i.e. for 3454,8912 is 2
LCM of denominators i.e. for 855,6581 is 5626755.
Thus, GCF of Fractions is 2/5626755.Finally, GCF of Fractions for 3454/855, 8912/6581 is 2/5626755.