Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4861/862,6728/485
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 4861,6728
Greatest Common Factor of Numerators i.e. GCF of 4861,6728 is 1 .
LCM of Denominators means LCM of 862,485 as per the given fractions.
LCM of 862,485 is 418070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4861,6728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4861
List of positive integer factors of 4861 that divides 4861 without a remainder.
1,4861
Factors of 6728
List of positive integer factors of 6728 that divides 6728 without a remainder.
1,2,4,8,29,58,116,232,841,1682,3364,6728
Greatest Common Factor
We found the factors 4861,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 4861,6728 is 1.
Lets's calculate LCM of 862,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 418070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418070
Therefore, the GCF of Fractions 4861/862,6728/485 is 1/418070
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 862,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,485) x common factors =1 x 1 = 1
LCM(862,485) = ( 862 × 485 ) / 1
LCM(862,485) = 418070 / 1
LCM(862,485) = 418070
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 4861/862, 6728/485?
Answer: GCF of Numerators as per given numbers 4861/862, 6728/485 is
GCF of Numerators i.e. for 4861,6728 is 1
LCM of denominators i.e. for 862,485 is 418070.
Thus, GCF of Fractions is 1/418070.Finally, GCF of Fractions for 4861/862, 6728/485 is 1/418070.