Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/96,601/73,374/862
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 900,601,374
Greatest Common Factor of Numerators i.e. GCF of 900,601,374 is 1 .
LCM of Denominators means LCM of 96,73,862 as per the given fractions.
LCM of 96,73,862 is 3020448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 900,601,374
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 900,601,374 . The biggest common factor number is the GCF number.
So the greatest common factor 900,601,374 is 1.
Lets's calculate LCM of 96,73,862
2 | 96, 73, 862 |
48, 73, 431 |
∴ So the LCM of the given numbers is 2 x 48 x 73 x 431 = 3020448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3020448
Therefore, the GCF of Fractions 900/96,601/73,374/862 is 1/3020448
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 96,73,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,73,862) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(96,73,862) x common factors =1 x 2 = 2
LCM(96,73,862) = ( 96 × 73 × 862 ) / 2
LCM(96,73,862) = 6040896 / 2
LCM(96,73,862) = 3020448
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 900/96, 601/73, 374/862?
Answer: GCF of Numerators as per given numbers 900/96, 601/73, 374/862 is
GCF of Numerators i.e. for 900,601,374 is 1
LCM of denominators i.e. for 96,73,862 is 3020448.
Thus, GCF of Fractions is 1/3020448.Finally, GCF of Fractions for 900/96, 601/73, 374/862 is 1/3020448.