Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3597/98,2921/158
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 3597,2921
Greatest Common Factor of Numerators i.e. GCF of 3597,2921 is 1 .
LCM of Denominators means LCM of 98,158 as per the given fractions.
LCM of 98,158 is 7742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3597,2921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3597
List of positive integer factors of 3597 that divides 3597 without a remainder.
1,3,11,33,109,327,1199,3597
Factors of 2921
List of positive integer factors of 2921 that divides 2921 without a remainder.
1,23,127,2921
Greatest Common Factor
We found the factors 3597,2921 . The biggest common factor number is the GCF number.
So the greatest common factor 3597,2921 is 1.
Lets's calculate LCM of 98,158
2 | 98, 158 |
49, 79 |
∴ So the LCM of the given numbers is 2 x 49 x 79 = 7742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7742
Therefore, the GCF of Fractions 3597/98,2921/158 is 1/7742
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 98,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,158) x common factors =2 x 1 = 2
LCM(98,158) = ( 98 × 158 ) / 2
LCM(98,158) = 15484 / 2
LCM(98,158) = 7742
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 3597/98, 2921/158?
Answer: GCF of Numerators as per given numbers 3597/98, 2921/158 is
GCF of Numerators i.e. for 3597,2921 is 1
LCM of denominators i.e. for 98,158 is 7742.
Thus, GCF of Fractions is 1/7742.Finally, GCF of Fractions for 3597/98, 2921/158 is 1/7742.