Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/489,6221/4661
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 769,6221
Greatest Common Factor of Numerators i.e. GCF of 769,6221 is 1 .
LCM of Denominators means LCM of 489,4661 as per the given fractions.
LCM of 489,4661 is 2279229 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 769,6221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 6221
List of positive integer factors of 6221 that divides 6221 without a remainder.
1,6221
Greatest Common Factor
We found the factors 769,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 769,6221 is 1.
Lets's calculate LCM of 489,4661
Given numbers has no common factors except 1. So, there LCM is their product i.e 2279229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2279229
Therefore, the GCF of Fractions 769/489,6221/4661 is 1/2279229
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 489,4661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,4661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,4661) x common factors =1 x 1 = 1
LCM(489,4661) = ( 489 × 4661 ) / 1
LCM(489,4661) = 2279229 / 1
LCM(489,4661) = 2279229
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 769/489, 6221/4661?
Answer: GCF of Numerators as per given numbers 769/489, 6221/4661 is
GCF of Numerators i.e. for 769,6221 is 1
LCM of denominators i.e. for 489,4661 is 2279229.
Thus, GCF of Fractions is 1/2279229.Finally, GCF of Fractions for 769/489, 6221/4661 is 1/2279229.