Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/24,651/72,686/428
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 831,651,686
Greatest Common Factor of Numerators i.e. GCF of 831,651,686 is 1 .
LCM of Denominators means LCM of 24,72,428 as per the given fractions.
LCM of 24,72,428 is 7704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 831,651,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 831,651,686 . The biggest common factor number is the GCF number.
So the greatest common factor 831,651,686 is 1.
Lets's calculate LCM of 24,72,428
2 | 24, 72, 428 |
2 | 12, 36, 214 |
2 | 6, 18, 107 |
3 | 3, 9, 107 |
1, 3, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 3 x 107 = 7704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7704
Therefore, the GCF of Fractions 831/24,651/72,686/428 is 1/7704
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 24,72,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,72,428) = 4
common factors(in case of two or more numbers have common factors) = 24
GCF(24,72,428) x common factors =4 x 24 = 96
LCM(24,72,428) = ( 24 × 72 × 428 ) / 96
LCM(24,72,428) = 739584 / 96
LCM(24,72,428) = 7704
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 831/24, 651/72, 686/428?
Answer: GCF of Numerators as per given numbers 831/24, 651/72, 686/428 is
GCF of Numerators i.e. for 831,651,686 is 1
LCM of denominators i.e. for 24,72,428 is 7704.
Thus, GCF of Fractions is 1/7704.Finally, GCF of Fractions for 831/24, 651/72, 686/428 is 1/7704.