Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/15,169/3104
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 316,169
Greatest Common Factor of Numerators i.e. GCF of 316,169 is 1 .
LCM of Denominators means LCM of 15,3104 as per the given fractions.
LCM of 15,3104 is 46560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 316,169 . The biggest common factor number is the GCF number.
So the greatest common factor 316,169 is 1.
Lets's calculate LCM of 15,3104
Given numbers has no common factors except 1. So, there LCM is their product i.e 46560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46560
Therefore, the GCF of Fractions 316/15,169/3104 is 1/46560
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 15,3104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,3104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,3104) x common factors =1 x 1 = 1
LCM(15,3104) = ( 15 × 3104 ) / 1
LCM(15,3104) = 46560 / 1
LCM(15,3104) = 46560
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 316/15, 169/3104?
Answer: GCF of Numerators as per given numbers 316/15, 169/3104 is
GCF of Numerators i.e. for 316,169 is 1
LCM of denominators i.e. for 15,3104 is 46560.
Thus, GCF of Fractions is 1/46560.Finally, GCF of Fractions for 316/15, 169/3104 is 1/46560.