Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/44,754/16,789/102
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 533,754,789
Greatest Common Factor of Numerators i.e. GCF of 533,754,789 is 1 .
LCM of Denominators means LCM of 44,16,102 as per the given fractions.
LCM of 44,16,102 is 8976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 533,754,789
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 533,754,789 . The biggest common factor number is the GCF number.
So the greatest common factor 533,754,789 is 1.
Lets's calculate LCM of 44,16,102
2 | 44, 16, 102 |
2 | 22, 8, 51 |
11, 4, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 4 x 51 = 8976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8976
Therefore, the GCF of Fractions 533/44,754/16,789/102 is 1/8976
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 44,16,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,16,102) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(44,16,102) x common factors =2 x 4 = 8
LCM(44,16,102) = ( 44 × 16 × 102 ) / 8
LCM(44,16,102) = 71808 / 8
LCM(44,16,102) = 8976
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 533/44, 754/16, 789/102?
Answer: GCF of Numerators as per given numbers 533/44, 754/16, 789/102 is
GCF of Numerators i.e. for 533,754,789 is 1
LCM of denominators i.e. for 44,16,102 is 8976.
Thus, GCF of Fractions is 1/8976.Finally, GCF of Fractions for 533/44, 754/16, 789/102 is 1/8976.