Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4123/56,4085/304
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 4123,4085
Greatest Common Factor of Numerators i.e. GCF of 4123,4085 is 19 .
LCM of Denominators means LCM of 56,304 as per the given fractions.
LCM of 56,304 is 2128 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4123,4085
19 | 4123, 4085 |
217, 215 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 4123
List of positive integer factors of 4123 that divides 4123 without a remainder.
1,7,19,31,133,217,589,4123
Factors of 4085
List of positive integer factors of 4085 that divides 4085 without a remainder.
1,5,19,43,95,215,817,4085
Greatest Common Factor
We found the factors 4123,4085 . The biggest common factor number is the GCF number.
So the greatest common factor 4123,4085 is 19.
Lets's calculate LCM of 56,304
2 | 56, 304 |
2 | 28, 152 |
2 | 14, 76 |
7, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 38 = 2128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/2128
Therefore, the GCF of Fractions 4123/56,4085/304 is 19/2128
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 56,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,304) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(56,304) x common factors =8 x 1 = 8
LCM(56,304) = ( 56 × 304 ) / 8
LCM(56,304) = 17024 / 8
LCM(56,304) = 2128
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 4123/56, 4085/304?
Answer: GCF of Numerators as per given numbers 4123/56, 4085/304 is
GCF of Numerators i.e. for 4123,4085 is 19
LCM of denominators i.e. for 56,304 is 2128.
Thus, GCF of Fractions is 19/2128.Finally, GCF of Fractions for 4123/56, 4085/304 is 19/2128.