Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9901/581,2858/6237
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 9901,2858
Greatest Common Factor of Numerators i.e. GCF of 9901,2858 is 1 .
LCM of Denominators means LCM of 581,6237 as per the given fractions.
LCM of 581,6237 is 517671 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9901,2858
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9901
List of positive integer factors of 9901 that divides 9901 without a remainder.
1,9901
Factors of 2858
List of positive integer factors of 2858 that divides 2858 without a remainder.
1,2,1429,2858
Greatest Common Factor
We found the factors 9901,2858 . The biggest common factor number is the GCF number.
So the greatest common factor 9901,2858 is 1.
Lets's calculate LCM of 581,6237
7 | 581, 6237 |
83, 891 |
∴ So the LCM of the given numbers is 7 x 83 x 891 = 517671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517671
Therefore, the GCF of Fractions 9901/581,2858/6237 is 1/517671
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 581,6237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,6237) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(581,6237) x common factors =7 x 1 = 7
LCM(581,6237) = ( 581 × 6237 ) / 7
LCM(581,6237) = 3623697 / 7
LCM(581,6237) = 517671
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 9901/581, 2858/6237?
Answer: GCF of Numerators as per given numbers 9901/581, 2858/6237 is
GCF of Numerators i.e. for 9901,2858 is 1
LCM of denominators i.e. for 581,6237 is 517671.
Thus, GCF of Fractions is 1/517671.Finally, GCF of Fractions for 9901/581, 2858/6237 is 1/517671.