Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7803/32,8458/452
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 7803,8458
Greatest Common Factor of Numerators i.e. GCF of 7803,8458 is 1 .
LCM of Denominators means LCM of 32,452 as per the given fractions.
LCM of 32,452 is 3616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7803,8458
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7803
List of positive integer factors of 7803 that divides 7803 without a remainder.
1,3,9,17,27,51,153,289,459,867,2601,7803
Factors of 8458
List of positive integer factors of 8458 that divides 8458 without a remainder.
1,2,4229,8458
Greatest Common Factor
We found the factors 7803,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 7803,8458 is 1.
Lets's calculate LCM of 32,452
2 | 32, 452 |
2 | 16, 226 |
8, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 113 = 3616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3616
Therefore, the GCF of Fractions 7803/32,8458/452 is 1/3616
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 32,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,452) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,452) x common factors =4 x 1 = 4
LCM(32,452) = ( 32 × 452 ) / 4
LCM(32,452) = 14464 / 4
LCM(32,452) = 3616
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 7803/32, 8458/452?
Answer: GCF of Numerators as per given numbers 7803/32, 8458/452 is
GCF of Numerators i.e. for 7803,8458 is 1
LCM of denominators i.e. for 32,452 is 3616.
Thus, GCF of Fractions is 1/3616.Finally, GCF of Fractions for 7803/32, 8458/452 is 1/3616.