Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2821/518,4146/9010
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 2821,4146
Greatest Common Factor of Numerators i.e. GCF of 2821,4146 is 1 .
LCM of Denominators means LCM of 518,9010 as per the given fractions.
LCM of 518,9010 is 2333590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2821,4146
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2821
List of positive integer factors of 2821 that divides 2821 without a remainder.
1,7,13,31,91,217,403,2821
Factors of 4146
List of positive integer factors of 4146 that divides 4146 without a remainder.
1,2,3,6,691,1382,2073,4146
Greatest Common Factor
We found the factors 2821,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 2821,4146 is 1.
Lets's calculate LCM of 518,9010
2 | 518, 9010 |
259, 4505 |
∴ So the LCM of the given numbers is 2 x 259 x 4505 = 2333590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2333590
Therefore, the GCF of Fractions 2821/518,4146/9010 is 1/2333590
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 518,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,9010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,9010) x common factors =2 x 1 = 2
LCM(518,9010) = ( 518 × 9010 ) / 2
LCM(518,9010) = 4667180 / 2
LCM(518,9010) = 2333590
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 2821/518, 4146/9010?
Answer: GCF of Numerators as per given numbers 2821/518, 4146/9010 is
GCF of Numerators i.e. for 2821,4146 is 1
LCM of denominators i.e. for 518,9010 is 2333590.
Thus, GCF of Fractions is 1/2333590.Finally, GCF of Fractions for 2821/518, 4146/9010 is 1/2333590.