Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/906,5775/5924
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 90,5775
Greatest Common Factor of Numerators i.e. GCF of 90,5775 is 15 .
LCM of Denominators means LCM of 906,5924 as per the given fractions.
LCM of 906,5924 is 2683572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,5775
3 | 90, 5775 |
5 | 30, 1925 |
6, 385 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 5775
List of positive integer factors of 5775 that divides 5775 without a remainder.
1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775
Greatest Common Factor
We found the factors 90,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5775 is 15.
Lets's calculate LCM of 906,5924
2 | 906, 5924 |
453, 2962 |
∴ So the LCM of the given numbers is 2 x 453 x 2962 = 2683572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/2683572
Therefore, the GCF of Fractions 90/906,5775/5924 is 15/2683572
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 906,5924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,5924) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(906,5924) x common factors =2 x 1 = 2
LCM(906,5924) = ( 906 × 5924 ) / 2
LCM(906,5924) = 5367144 / 2
LCM(906,5924) = 2683572
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 90/906, 5775/5924?
Answer: GCF of Numerators as per given numbers 90/906, 5775/5924 is
GCF of Numerators i.e. for 90,5775 is 15
LCM of denominators i.e. for 906,5924 is 2683572.
Thus, GCF of Fractions is 15/2683572.Finally, GCF of Fractions for 90/906, 5775/5924 is 15/2683572.