Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/86,953/68,403/902
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 83,953,403
Greatest Common Factor of Numerators i.e. GCF of 83,953,403 is 1 .
LCM of Denominators means LCM of 86,68,902 as per the given fractions.
LCM of 86,68,902 is 1318724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,953,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
We found the factors 83,953,403 . The biggest common factor number is the GCF number.
So the greatest common factor 83,953,403 is 1.
Lets's calculate LCM of 86,68,902
2 | 86, 68, 902 |
43, 34, 451 |
∴ So the LCM of the given numbers is 2 x 43 x 34 x 451 = 1318724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1318724
Therefore, the GCF of Fractions 83/86,953/68,403/902 is 1/1318724
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 86,68,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,68,902) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,68,902) x common factors =2 x 2 = 4
LCM(86,68,902) = ( 86 × 68 × 902 ) / 4
LCM(86,68,902) = 5274896 / 4
LCM(86,68,902) = 1318724
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 83/86, 953/68, 403/902?
Answer: GCF of Numerators as per given numbers 83/86, 953/68, 403/902 is
GCF of Numerators i.e. for 83,953,403 is 1
LCM of denominators i.e. for 86,68,902 is 1318724.
Thus, GCF of Fractions is 1/1318724.Finally, GCF of Fractions for 83/86, 953/68, 403/902 is 1/1318724.