Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7136/410,4484/297
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 7136,4484
Greatest Common Factor of Numerators i.e. GCF of 7136,4484 is 4 .
LCM of Denominators means LCM of 410,297 as per the given fractions.
LCM of 410,297 is 121770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7136,4484
2 | 7136, 4484 |
2 | 3568, 2242 |
1784, 1121 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 7136
List of positive integer factors of 7136 that divides 7136 without a remainder.
1,2,4,8,16,32,223,446,892,1784,3568,7136
Factors of 4484
List of positive integer factors of 4484 that divides 4484 without a remainder.
1,2,4,19,38,59,76,118,236,1121,2242,4484
Greatest Common Factor
We found the factors 7136,4484 . The biggest common factor number is the GCF number.
So the greatest common factor 7136,4484 is 4.
Lets's calculate LCM of 410,297
Given numbers has no common factors except 1. So, there LCM is their product i.e 121770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/121770
Therefore, the GCF of Fractions 7136/410,4484/297 is 4/121770
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 410,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(410,297) x common factors =1 x 1 = 1
LCM(410,297) = ( 410 × 297 ) / 1
LCM(410,297) = 121770 / 1
LCM(410,297) = 121770
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 7136/410, 4484/297?
Answer: GCF of Numerators as per given numbers 7136/410, 4484/297 is
GCF of Numerators i.e. for 7136,4484 is 4
LCM of denominators i.e. for 410,297 is 121770.
Thus, GCF of Fractions is 4/121770.Finally, GCF of Fractions for 7136/410, 4484/297 is 4/121770.