Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/82,2781/828
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 890,2781
Greatest Common Factor of Numerators i.e. GCF of 890,2781 is 1 .
LCM of Denominators means LCM of 82,828 as per the given fractions.
LCM of 82,828 is 33948 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 890,2781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 2781
List of positive integer factors of 2781 that divides 2781 without a remainder.
1,3,9,27,103,309,927,2781
Greatest Common Factor
We found the factors 890,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 890,2781 is 1.
Lets's calculate LCM of 82,828
2 | 82, 828 |
41, 414 |
∴ So the LCM of the given numbers is 2 x 41 x 414 = 33948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33948
Therefore, the GCF of Fractions 890/82,2781/828 is 1/33948
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 82,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,828) x common factors =2 x 1 = 2
LCM(82,828) = ( 82 × 828 ) / 2
LCM(82,828) = 67896 / 2
LCM(82,828) = 33948
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 890/82, 2781/828?
Answer: GCF of Numerators as per given numbers 890/82, 2781/828 is
GCF of Numerators i.e. for 890,2781 is 1
LCM of denominators i.e. for 82,828 is 33948.
Thus, GCF of Fractions is 1/33948.Finally, GCF of Fractions for 890/82, 2781/828 is 1/33948.