Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9332/58,6132/906
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 9332,6132
Greatest Common Factor of Numerators i.e. GCF of 9332,6132 is 4 .
LCM of Denominators means LCM of 58,906 as per the given fractions.
LCM of 58,906 is 26274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9332,6132
2 | 9332, 6132 |
2 | 4666, 3066 |
2333, 1533 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9332
List of positive integer factors of 9332 that divides 9332 without a remainder.
1,2,4,2333,4666,9332
Factors of 6132
List of positive integer factors of 6132 that divides 6132 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Greatest Common Factor
We found the factors 9332,6132 . The biggest common factor number is the GCF number.
So the greatest common factor 9332,6132 is 4.
Lets's calculate LCM of 58,906
2 | 58, 906 |
29, 453 |
∴ So the LCM of the given numbers is 2 x 29 x 453 = 26274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/26274
Therefore, the GCF of Fractions 9332/58,6132/906 is 4/26274
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 58,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,906) x common factors =2 x 1 = 2
LCM(58,906) = ( 58 × 906 ) / 2
LCM(58,906) = 52548 / 2
LCM(58,906) = 26274
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 9332/58, 6132/906?
Answer: GCF of Numerators as per given numbers 9332/58, 6132/906 is
GCF of Numerators i.e. for 9332,6132 is 4
LCM of denominators i.e. for 58,906 is 26274.
Thus, GCF of Fractions is 4/26274.Finally, GCF of Fractions for 9332/58, 6132/906 is 4/26274.