Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3964/98,5659/136
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 3964,5659
Greatest Common Factor of Numerators i.e. GCF of 3964,5659 is 1 .
LCM of Denominators means LCM of 98,136 as per the given fractions.
LCM of 98,136 is 6664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3964,5659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3964
List of positive integer factors of 3964 that divides 3964 without a remainder.
1,2,4,991,1982,3964
Factors of 5659
List of positive integer factors of 5659 that divides 5659 without a remainder.
1,5659
Greatest Common Factor
We found the factors 3964,5659 . The biggest common factor number is the GCF number.
So the greatest common factor 3964,5659 is 1.
Lets's calculate LCM of 98,136
2 | 98, 136 |
49, 68 |
∴ So the LCM of the given numbers is 2 x 49 x 68 = 6664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6664
Therefore, the GCF of Fractions 3964/98,5659/136 is 1/6664
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 98,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,136) x common factors =2 x 1 = 2
LCM(98,136) = ( 98 × 136 ) / 2
LCM(98,136) = 13328 / 2
LCM(98,136) = 6664
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 3964/98, 5659/136?
Answer: GCF of Numerators as per given numbers 3964/98, 5659/136 is
GCF of Numerators i.e. for 3964,5659 is 1
LCM of denominators i.e. for 98,136 is 6664.
Thus, GCF of Fractions is 1/6664.Finally, GCF of Fractions for 3964/98, 5659/136 is 1/6664.