Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9378/111,3807/575
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 9378,3807
Greatest Common Factor of Numerators i.e. GCF of 9378,3807 is 9 .
LCM of Denominators means LCM of 111,575 as per the given fractions.
LCM of 111,575 is 63825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9378,3807
3 | 9378, 3807 |
3 | 3126, 1269 |
1042, 423 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 9378
List of positive integer factors of 9378 that divides 9378 without a remainder.
1,2,3,6,9,18,521,1042,1563,3126,4689,9378
Factors of 3807
List of positive integer factors of 3807 that divides 3807 without a remainder.
1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors 9378,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 9378,3807 is 9.
Lets's calculate LCM of 111,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 63825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/63825
Therefore, the GCF of Fractions 9378/111,3807/575 is 9/63825
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 111,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,575) x common factors =1 x 1 = 1
LCM(111,575) = ( 111 × 575 ) / 1
LCM(111,575) = 63825 / 1
LCM(111,575) = 63825
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 9378/111, 3807/575?
Answer: GCF of Numerators as per given numbers 9378/111, 3807/575 is
GCF of Numerators i.e. for 9378,3807 is 9
LCM of denominators i.e. for 111,575 is 63825.
Thus, GCF of Fractions is 9/63825.Finally, GCF of Fractions for 9378/111, 3807/575 is 9/63825.