Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9495/255,7556/1279
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 9495,7556
Greatest Common Factor of Numerators i.e. GCF of 9495,7556 is 1 .
LCM of Denominators means LCM of 255,1279 as per the given fractions.
LCM of 255,1279 is 326145 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9495,7556
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9495
List of positive integer factors of 9495 that divides 9495 without a remainder.
1,3,5,9,15,45,211,633,1055,1899,3165,9495
Factors of 7556
List of positive integer factors of 7556 that divides 7556 without a remainder.
1,2,4,1889,3778,7556
Greatest Common Factor
We found the factors 9495,7556 . The biggest common factor number is the GCF number.
So the greatest common factor 9495,7556 is 1.
Lets's calculate LCM of 255,1279
Given numbers has no common factors except 1. So, there LCM is their product i.e 326145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326145
Therefore, the GCF of Fractions 9495/255,7556/1279 is 1/326145
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 255,1279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,1279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(255,1279) x common factors =1 x 1 = 1
LCM(255,1279) = ( 255 × 1279 ) / 1
LCM(255,1279) = 326145 / 1
LCM(255,1279) = 326145
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 9495/255, 7556/1279?
Answer: GCF of Numerators as per given numbers 9495/255, 7556/1279 is
GCF of Numerators i.e. for 9495,7556 is 1
LCM of denominators i.e. for 255,1279 is 326145.
Thus, GCF of Fractions is 1/326145.Finally, GCF of Fractions for 9495/255, 7556/1279 is 1/326145.