Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/96,442/91,400/721
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 901,442,400
Greatest Common Factor of Numerators i.e. GCF of 901,442,400 is 1 .
LCM of Denominators means LCM of 96,91,721 as per the given fractions.
LCM of 96,91,721 is 899808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 901,442,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 901,442,400 . The biggest common factor number is the GCF number.
So the greatest common factor 901,442,400 is 1.
Lets's calculate LCM of 96,91,721
7 | 96, 91, 721 |
96, 13, 103 |
∴ So the LCM of the given numbers is 7 x 96 x 13 x 103 = 899808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/899808
Therefore, the GCF of Fractions 901/96,442/91,400/721 is 1/899808
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 96,91,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,91,721) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(96,91,721) x common factors =1 x 7 = 7
LCM(96,91,721) = ( 96 × 91 × 721 ) / 7
LCM(96,91,721) = 6298656 / 7
LCM(96,91,721) = 899808
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 901/96, 442/91, 400/721?
Answer: GCF of Numerators as per given numbers 901/96, 442/91, 400/721 is
GCF of Numerators i.e. for 901,442,400 is 1
LCM of denominators i.e. for 96,91,721 is 899808.
Thus, GCF of Fractions is 1/899808.Finally, GCF of Fractions for 901/96, 442/91, 400/721 is 1/899808.