Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 553/428,3201/258
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 553,3201
Greatest Common Factor of Numerators i.e. GCF of 553,3201 is 1 .
LCM of Denominators means LCM of 428,258 as per the given fractions.
LCM of 428,258 is 55212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 553,3201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 3201
List of positive integer factors of 3201 that divides 3201 without a remainder.
1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 553,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 553,3201 is 1.
Lets's calculate LCM of 428,258
2 | 428, 258 |
214, 129 |
∴ So the LCM of the given numbers is 2 x 214 x 129 = 55212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55212
Therefore, the GCF of Fractions 553/428,3201/258 is 1/55212
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 428,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,258) x common factors =2 x 1 = 2
LCM(428,258) = ( 428 × 258 ) / 2
LCM(428,258) = 110424 / 2
LCM(428,258) = 55212
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 553/428, 3201/258?
Answer: GCF of Numerators as per given numbers 553/428, 3201/258 is
GCF of Numerators i.e. for 553,3201 is 1
LCM of denominators i.e. for 428,258 is 55212.
Thus, GCF of Fractions is 1/55212.Finally, GCF of Fractions for 553/428, 3201/258 is 1/55212.