Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/47,869/2408
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 608,869
Greatest Common Factor of Numerators i.e. GCF of 608,869 is 1 .
LCM of Denominators means LCM of 47,2408 as per the given fractions.
LCM of 47,2408 is 113176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 608,869
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Greatest Common Factor
We found the factors 608,869 . The biggest common factor number is the GCF number.
So the greatest common factor 608,869 is 1.
Lets's calculate LCM of 47,2408
Given numbers has no common factors except 1. So, there LCM is their product i.e 113176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113176
Therefore, the GCF of Fractions 608/47,869/2408 is 1/113176
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 47,2408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,2408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,2408) x common factors =1 x 1 = 1
LCM(47,2408) = ( 47 × 2408 ) / 1
LCM(47,2408) = 113176 / 1
LCM(47,2408) = 113176
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 608/47, 869/2408?
Answer: GCF of Numerators as per given numbers 608/47, 869/2408 is
GCF of Numerators i.e. for 608,869 is 1
LCM of denominators i.e. for 47,2408 is 113176.
Thus, GCF of Fractions is 1/113176.Finally, GCF of Fractions for 608/47, 869/2408 is 1/113176.