Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 93/894,7011/3318
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 93,7011
Greatest Common Factor of Numerators i.e. GCF of 93,7011 is 3 .
LCM of Denominators means LCM of 894,3318 as per the given fractions.
LCM of 894,3318 is 494382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 93,7011
3 | 93, 7011 |
31, 2337 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 7011
List of positive integer factors of 7011 that divides 7011 without a remainder.
1,3,9,19,41,57,123,171,369,779,2337,7011
Greatest Common Factor
We found the factors 93,7011 . The biggest common factor number is the GCF number.
So the greatest common factor 93,7011 is 3.
Lets's calculate LCM of 894,3318
2 | 894, 3318 |
3 | 447, 1659 |
149, 553 |
∴ So the LCM of the given numbers is 2 x 3 x 149 x 553 = 494382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/494382
Therefore, the GCF of Fractions 93/894,7011/3318 is 3/494382
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 894,3318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,3318) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(894,3318) x common factors =6 x 1 = 6
LCM(894,3318) = ( 894 × 3318 ) / 6
LCM(894,3318) = 2966292 / 6
LCM(894,3318) = 494382
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 93/894, 7011/3318?
Answer: GCF of Numerators as per given numbers 93/894, 7011/3318 is
GCF of Numerators i.e. for 93,7011 is 3
LCM of denominators i.e. for 894,3318 is 494382.
Thus, GCF of Fractions is 3/494382.Finally, GCF of Fractions for 93/894, 7011/3318 is 3/494382.