Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2101/326,6641/5554
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 2101,6641
Greatest Common Factor of Numerators i.e. GCF of 2101,6641 is 1 .
LCM of Denominators means LCM of 326,5554 as per the given fractions.
LCM of 326,5554 is 905302 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2101,6641
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2101
List of positive integer factors of 2101 that divides 2101 without a remainder.
1,11,191,2101
Factors of 6641
List of positive integer factors of 6641 that divides 6641 without a remainder.
1,29,229,6641
Greatest Common Factor
We found the factors 2101,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 2101,6641 is 1.
Lets's calculate LCM of 326,5554
2 | 326, 5554 |
163, 2777 |
∴ So the LCM of the given numbers is 2 x 163 x 2777 = 905302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/905302
Therefore, the GCF of Fractions 2101/326,6641/5554 is 1/905302
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 326,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5554) x common factors =2 x 1 = 2
LCM(326,5554) = ( 326 × 5554 ) / 2
LCM(326,5554) = 1810604 / 2
LCM(326,5554) = 905302
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 2101/326, 6641/5554?
Answer: GCF of Numerators as per given numbers 2101/326, 6641/5554 is
GCF of Numerators i.e. for 2101,6641 is 1
LCM of denominators i.e. for 326,5554 is 905302.
Thus, GCF of Fractions is 1/905302.Finally, GCF of Fractions for 2101/326, 6641/5554 is 1/905302.