Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/41,88/44,99/484,746/801
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 3,88,99,746
Greatest Common Factor of Numerators i.e. GCF of 3,88,99,746 is 1 .
LCM of Denominators means LCM of 41,44,484,801 as per the given fractions.
LCM of 41,44,484,801 is 15895044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,88,99,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 3,88,99,746 . The biggest common factor number is the GCF number.
So the greatest common factor 3,88,99,746 is 1.
Lets's calculate LCM of 41,44,484,801
2 | 41, 44, 484, 801 |
2 | 41, 22, 242, 801 |
11 | 41, 11, 121, 801 |
41, 1, 11, 801 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 41 x 1 x 11 x 801 = 15895044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15895044
Therefore, the GCF of Fractions 3/41,88/44,99/484,746/801 is 1/15895044
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 41,44,484,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,44,484,801) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(41,44,484,801) x common factors =1 x 44 = 44
LCM(41,44,484,801) = ( 41 × 44 × 484 × 801 ) / 44
LCM(41,44,484,801) = 699381936 / 44
LCM(41,44,484,801) = 15895044
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 3/41, 88/44, 99/484, 746/801?
Answer: GCF of Numerators as per given numbers 3/41, 88/44, 99/484, 746/801 is
GCF of Numerators i.e. for 3,88,99,746 is 1
LCM of denominators i.e. for 41,44,484,801 is 15895044.
Thus, GCF of Fractions is 1/15895044.Finally, GCF of Fractions for 3/41, 88/44, 99/484, 746/801 is 1/15895044.