Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 386/66,852/57,265/918
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 386,852,265
Greatest Common Factor of Numerators i.e. GCF of 386,852,265 is 1 .
LCM of Denominators means LCM of 66,57,918 as per the given fractions.
LCM of 66,57,918 is 191862 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 386,852,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 386,852,265 . The biggest common factor number is the GCF number.
So the greatest common factor 386,852,265 is 1.
Lets's calculate LCM of 66,57,918
2 | 66, 57, 918 |
3 | 33, 57, 459 |
11, 19, 153 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 19 x 153 = 191862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191862
Therefore, the GCF of Fractions 386/66,852/57,265/918 is 1/191862
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 66,57,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,57,918) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(66,57,918) x common factors =3 x 6 = 18
LCM(66,57,918) = ( 66 × 57 × 918 ) / 18
LCM(66,57,918) = 3453516 / 18
LCM(66,57,918) = 191862
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 386/66, 852/57, 265/918?
Answer: GCF of Numerators as per given numbers 386/66, 852/57, 265/918 is
GCF of Numerators i.e. for 386,852,265 is 1
LCM of denominators i.e. for 66,57,918 is 191862.
Thus, GCF of Fractions is 1/191862.Finally, GCF of Fractions for 386/66, 852/57, 265/918 is 1/191862.