Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/4048,762/4321
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 335,762
Greatest Common Factor of Numerators i.e. GCF of 335,762 is 1 .
LCM of Denominators means LCM of 4048,4321 as per the given fractions.
LCM of 4048,4321 is 17491408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 335,762
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 335,762 . The biggest common factor number is the GCF number.
So the greatest common factor 335,762 is 1.
Lets's calculate LCM of 4048,4321
Given numbers has no common factors except 1. So, there LCM is their product i.e 17491408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17491408
Therefore, the GCF of Fractions 335/4048,762/4321 is 1/17491408
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 4048,4321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4048,4321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4048,4321) x common factors =1 x 1 = 1
LCM(4048,4321) = ( 4048 × 4321 ) / 1
LCM(4048,4321) = 17491408 / 1
LCM(4048,4321) = 17491408
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 335/4048, 762/4321?
Answer: GCF of Numerators as per given numbers 335/4048, 762/4321 is
GCF of Numerators i.e. for 335,762 is 1
LCM of denominators i.e. for 4048,4321 is 17491408.
Thus, GCF of Fractions is 1/17491408.Finally, GCF of Fractions for 335/4048, 762/4321 is 1/17491408.