Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4829/836,2433/2737
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 4829,2433
Greatest Common Factor of Numerators i.e. GCF of 4829,2433 is 1 .
LCM of Denominators means LCM of 836,2737 as per the given fractions.
LCM of 836,2737 is 2288132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4829,2433
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4829
List of positive integer factors of 4829 that divides 4829 without a remainder.
1,11,439,4829
Factors of 2433
List of positive integer factors of 2433 that divides 2433 without a remainder.
1,3,811,2433
Greatest Common Factor
We found the factors 4829,2433 . The biggest common factor number is the GCF number.
So the greatest common factor 4829,2433 is 1.
Lets's calculate LCM of 836,2737
Given numbers has no common factors except 1. So, there LCM is their product i.e 2288132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2288132
Therefore, the GCF of Fractions 4829/836,2433/2737 is 1/2288132
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 836,2737 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,2737) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,2737) x common factors =1 x 1 = 1
LCM(836,2737) = ( 836 × 2737 ) / 1
LCM(836,2737) = 2288132 / 1
LCM(836,2737) = 2288132
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 4829/836, 2433/2737?
Answer: GCF of Numerators as per given numbers 4829/836, 2433/2737 is
GCF of Numerators i.e. for 4829,2433 is 1
LCM of denominators i.e. for 836,2737 is 2288132.
Thus, GCF of Fractions is 1/2288132.Finally, GCF of Fractions for 4829/836, 2433/2737 is 1/2288132.