Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4182/616,9562/188
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 4182,9562
Greatest Common Factor of Numerators i.e. GCF of 4182,9562 is 2 .
LCM of Denominators means LCM of 616,188 as per the given fractions.
LCM of 616,188 is 28952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4182,9562
2 | 4182, 9562 |
2091, 4781 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4182
List of positive integer factors of 4182 that divides 4182 without a remainder.
1,2,3,6,17,34,41,51,82,102,123,246,697,1394,2091,4182
Factors of 9562
List of positive integer factors of 9562 that divides 9562 without a remainder.
1,2,7,14,683,1366,4781,9562
Greatest Common Factor
We found the factors 4182,9562 . The biggest common factor number is the GCF number.
So the greatest common factor 4182,9562 is 2.
Lets's calculate LCM of 616,188
2 | 616, 188 |
2 | 308, 94 |
154, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 154 x 47 = 28952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28952
Therefore, the GCF of Fractions 4182/616,9562/188 is 2/28952
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 616,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(616,188) x common factors =4 x 1 = 4
LCM(616,188) = ( 616 × 188 ) / 4
LCM(616,188) = 115808 / 4
LCM(616,188) = 28952
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 4182/616, 9562/188?
Answer: GCF of Numerators as per given numbers 4182/616, 9562/188 is
GCF of Numerators i.e. for 4182,9562 is 2
LCM of denominators i.e. for 616,188 is 28952.
Thus, GCF of Fractions is 2/28952.Finally, GCF of Fractions for 4182/616, 9562/188 is 2/28952.