Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5253/90,9242/154
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 5253,9242
Greatest Common Factor of Numerators i.e. GCF of 5253,9242 is 1 .
LCM of Denominators means LCM of 90,154 as per the given fractions.
LCM of 90,154 is 6930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5253,9242
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5253
List of positive integer factors of 5253 that divides 5253 without a remainder.
1,3,17,51,103,309,1751,5253
Factors of 9242
List of positive integer factors of 9242 that divides 9242 without a remainder.
1,2,4621,9242
Greatest Common Factor
We found the factors 5253,9242 . The biggest common factor number is the GCF number.
So the greatest common factor 5253,9242 is 1.
Lets's calculate LCM of 90,154
2 | 90, 154 |
45, 77 |
∴ So the LCM of the given numbers is 2 x 45 x 77 = 6930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930
Therefore, the GCF of Fractions 5253/90,9242/154 is 1/6930
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 90,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,154) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(90,154) x common factors =2 x 1 = 2
LCM(90,154) = ( 90 × 154 ) / 2
LCM(90,154) = 13860 / 2
LCM(90,154) = 6930
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 5253/90, 9242/154?
Answer: GCF of Numerators as per given numbers 5253/90, 9242/154 is
GCF of Numerators i.e. for 5253,9242 is 1
LCM of denominators i.e. for 90,154 is 6930.
Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 5253/90, 9242/154 is 1/6930.