Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5656/60,7692/199
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 5656,7692
Greatest Common Factor of Numerators i.e. GCF of 5656,7692 is 4 .
LCM of Denominators means LCM of 60,199 as per the given fractions.
LCM of 60,199 is 11940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5656,7692
2 | 5656, 7692 |
2 | 2828, 3846 |
1414, 1923 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 5656
List of positive integer factors of 5656 that divides 5656 without a remainder.
1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656
Factors of 7692
List of positive integer factors of 7692 that divides 7692 without a remainder.
1,2,3,4,6,12,641,1282,1923,2564,3846,7692
Greatest Common Factor
We found the factors 5656,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,7692 is 4.
Lets's calculate LCM of 60,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 11940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11940
Therefore, the GCF of Fractions 5656/60,7692/199 is 4/11940
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 60,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,199) x common factors =1 x 1 = 1
LCM(60,199) = ( 60 × 199 ) / 1
LCM(60,199) = 11940 / 1
LCM(60,199) = 11940
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 5656/60, 7692/199?
Answer: GCF of Numerators as per given numbers 5656/60, 7692/199 is
GCF of Numerators i.e. for 5656,7692 is 4
LCM of denominators i.e. for 60,199 is 11940.
Thus, GCF of Fractions is 4/11940.Finally, GCF of Fractions for 5656/60, 7692/199 is 4/11940.