Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1679/244,4395/969
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 1679,4395
Greatest Common Factor of Numerators i.e. GCF of 1679,4395 is 1 .
LCM of Denominators means LCM of 244,969 as per the given fractions.
LCM of 244,969 is 236436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1679,4395
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1679
List of positive integer factors of 1679 that divides 1679 without a remainder.
1,23,73,1679
Factors of 4395
List of positive integer factors of 4395 that divides 4395 without a remainder.
1,3,5,15,293,879,1465,4395
Greatest Common Factor
We found the factors 1679,4395 . The biggest common factor number is the GCF number.
So the greatest common factor 1679,4395 is 1.
Lets's calculate LCM of 244,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 236436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236436
Therefore, the GCF of Fractions 1679/244,4395/969 is 1/236436
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 244,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(244,969) x common factors =1 x 1 = 1
LCM(244,969) = ( 244 × 969 ) / 1
LCM(244,969) = 236436 / 1
LCM(244,969) = 236436
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 1679/244, 4395/969?
Answer: GCF of Numerators as per given numbers 1679/244, 4395/969 is
GCF of Numerators i.e. for 1679,4395 is 1
LCM of denominators i.e. for 244,969 is 236436.
Thus, GCF of Fractions is 1/236436.Finally, GCF of Fractions for 1679/244, 4395/969 is 1/236436.