Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2914/367,4697/488
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 2914,4697
Greatest Common Factor of Numerators i.e. GCF of 2914,4697 is 1 .
LCM of Denominators means LCM of 367,488 as per the given fractions.
LCM of 367,488 is 179096 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2914,4697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2914
List of positive integer factors of 2914 that divides 2914 without a remainder.
1,2,31,47,62,94,1457,2914
Factors of 4697
List of positive integer factors of 4697 that divides 4697 without a remainder.
1,7,11,61,77,427,671,4697
Greatest Common Factor
We found the factors 2914,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 2914,4697 is 1.
Lets's calculate LCM of 367,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 179096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179096
Therefore, the GCF of Fractions 2914/367,4697/488 is 1/179096
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 367,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,488) x common factors =1 x 1 = 1
LCM(367,488) = ( 367 × 488 ) / 1
LCM(367,488) = 179096 / 1
LCM(367,488) = 179096
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 2914/367, 4697/488?
Answer: GCF of Numerators as per given numbers 2914/367, 4697/488 is
GCF of Numerators i.e. for 2914,4697 is 1
LCM of denominators i.e. for 367,488 is 179096.
Thus, GCF of Fractions is 1/179096.Finally, GCF of Fractions for 2914/367, 4697/488 is 1/179096.