Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 477/97,1239/290
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 477,1239
Greatest Common Factor of Numerators i.e. GCF of 477,1239 is 3 .
LCM of Denominators means LCM of 97,290 as per the given fractions.
LCM of 97,290 is 28130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 477,1239
3 | 477, 1239 |
159, 413 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 1239
List of positive integer factors of 1239 that divides 1239 without a remainder.
1,3,7,21,59,177,413,1239
Greatest Common Factor
We found the factors 477,1239 . The biggest common factor number is the GCF number.
So the greatest common factor 477,1239 is 3.
Lets's calculate LCM of 97,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 28130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28130
Therefore, the GCF of Fractions 477/97,1239/290 is 3/28130
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 97,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,290) x common factors =1 x 1 = 1
LCM(97,290) = ( 97 × 290 ) / 1
LCM(97,290) = 28130 / 1
LCM(97,290) = 28130
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 477/97, 1239/290?
Answer: GCF of Numerators as per given numbers 477/97, 1239/290 is
GCF of Numerators i.e. for 477,1239 is 3
LCM of denominators i.e. for 97,290 is 28130.
Thus, GCF of Fractions is 3/28130.Finally, GCF of Fractions for 477/97, 1239/290 is 3/28130.