Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 309/115,113/153,635/533
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 309,113,635
Greatest Common Factor of Numerators i.e. GCF of 309,113,635 is 1 .
LCM of Denominators means LCM of 115,153,533 as per the given fractions.
LCM of 115,153,533 is 9378135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 309,113,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 309,113,635 . The biggest common factor number is the GCF number.
So the greatest common factor 309,113,635 is 1.
Lets's calculate LCM of 115,153,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 9378135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9378135
Therefore, the GCF of Fractions 309/115,113/153,635/533 is 1/9378135
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 115,153,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,153,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,153,533) x common factors =1 x 1 = 1
LCM(115,153,533) = ( 115 × 153 × 533 ) / 1
LCM(115,153,533) = 9378135 / 1
LCM(115,153,533) = 9378135
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 309/115, 113/153, 635/533?
Answer: GCF of Numerators as per given numbers 309/115, 113/153, 635/533 is
GCF of Numerators i.e. for 309,113,635 is 1
LCM of denominators i.e. for 115,153,533 is 9378135.
Thus, GCF of Fractions is 1/9378135.Finally, GCF of Fractions for 309/115, 113/153, 635/533 is 1/9378135.