Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 264/885,565/567,386/878
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 264,565,386
Greatest Common Factor of Numerators i.e. GCF of 264,565,386 is 1 .
LCM of Denominators means LCM of 885,567,878 as per the given fractions.
LCM of 885,567,878 is 146858670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 264,565,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 264,565,386 . The biggest common factor number is the GCF number.
So the greatest common factor 264,565,386 is 1.
Lets's calculate LCM of 885,567,878
3 | 885, 567, 878 |
295, 189, 878 |
∴ So the LCM of the given numbers is 3 x 295 x 189 x 878 = 146858670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146858670
Therefore, the GCF of Fractions 264/885,565/567,386/878 is 1/146858670
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 885,567,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,567,878) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(885,567,878) x common factors =1 x 3 = 3
LCM(885,567,878) = ( 885 × 567 × 878 ) / 3
LCM(885,567,878) = 440576010 / 3
LCM(885,567,878) = 146858670
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 264/885, 565/567, 386/878?
Answer: GCF of Numerators as per given numbers 264/885, 565/567, 386/878 is
GCF of Numerators i.e. for 264,565,386 is 1
LCM of denominators i.e. for 885,567,878 is 146858670.
Thus, GCF of Fractions is 1/146858670.Finally, GCF of Fractions for 264/885, 565/567, 386/878 is 1/146858670.