Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/924,5377/3299
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 659,5377
Greatest Common Factor of Numerators i.e. GCF of 659,5377 is 1 .
LCM of Denominators means LCM of 924,3299 as per the given fractions.
LCM of 924,3299 is 3048276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 659,5377
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Factors of 5377
List of positive integer factors of 5377 that divides 5377 without a remainder.
1,19,283,5377
Greatest Common Factor
We found the factors 659,5377 . The biggest common factor number is the GCF number.
So the greatest common factor 659,5377 is 1.
Lets's calculate LCM of 924,3299
Given numbers has no common factors except 1. So, there LCM is their product i.e 3048276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3048276
Therefore, the GCF of Fractions 659/924,5377/3299 is 1/3048276
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 924,3299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,3299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(924,3299) x common factors =1 x 1 = 1
LCM(924,3299) = ( 924 × 3299 ) / 1
LCM(924,3299) = 3048276 / 1
LCM(924,3299) = 3048276
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 659/924, 5377/3299?
Answer: GCF of Numerators as per given numbers 659/924, 5377/3299 is
GCF of Numerators i.e. for 659,5377 is 1
LCM of denominators i.e. for 924,3299 is 3048276.
Thus, GCF of Fractions is 1/3048276.Finally, GCF of Fractions for 659/924, 5377/3299 is 1/3048276.