Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/618,862/362,806/264
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 911,862,806
Greatest Common Factor of Numerators i.e. GCF of 911,862,806 is 1 .
LCM of Denominators means LCM of 618,362,264 as per the given fractions.
LCM of 618,362,264 is 4921752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 911,862,806
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 911,862,806 . The biggest common factor number is the GCF number.
So the greatest common factor 911,862,806 is 1.
Lets's calculate LCM of 618,362,264
2 | 618, 362, 264 |
3 | 309, 181, 132 |
103, 181, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 181 x 44 = 4921752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4921752
Therefore, the GCF of Fractions 911/618,862/362,806/264 is 1/4921752
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 618,362,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,362,264) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(618,362,264) x common factors =2 x 6 = 12
LCM(618,362,264) = ( 618 × 362 × 264 ) / 12
LCM(618,362,264) = 59061024 / 12
LCM(618,362,264) = 4921752
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 911/618, 862/362, 806/264?
Answer: GCF of Numerators as per given numbers 911/618, 862/362, 806/264 is
GCF of Numerators i.e. for 911,862,806 is 1
LCM of denominators i.e. for 618,362,264 is 4921752.
Thus, GCF of Fractions is 1/4921752.Finally, GCF of Fractions for 911/618, 862/362, 806/264 is 1/4921752.