Use our free GCF of Fractions Calculator tool to compute the GCF of 900/434, 215/840 i.e 5/26040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/434, 215/840.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/434,215/840
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 900/434,215/840, numerators are 900,215
Denominators are 434,840
The GCF of 900,215 is 5 .
LCM of 434,840 is 26040.
The greatest common factor of 900/434,215/840 = [GCF of 900,215]/[LCM of 434,840]= 5/26040
Therefore, the GCF of 900/434,215/840 is 5/26040.
To find the highest common factor of 900,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 900 are 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
The factors of 215 are 1, 5, 43, 215
The HCF of 900,215 is 5.
Lets's calculate GCF of 900,215
5 | 900, 215 |
180, 43 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 900
: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
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 900,215 . The biggest common factor number is the GCF number.
So the greatest common factor 900,215 is 5.
Lets's calculate LCM of 434,840
2 | 434, 840 |
7 | 217, 420 |
31, 60 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 60 = 26040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/26040
Therefore, the GCF of Fractions 900/434,215/840 is 5/26040
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 434,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,840) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(434,840) x common factors =14 x 1 = 14
LCM(434,840) = ( 434 × 840 ) / 14
LCM(434,840) = 364560 / 14
LCM(434,840) = 26040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 900,215?
The HCF of 900,215 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 900/434, 215/840?
Answer: GCF of Numerators as per given numbers 900/434, 215/840 is
GCF of Numerators i.e. for 900,215 is 5
LCM of denominators i.e. for 434,840 is 26040.
Thus, GCF of Fractions is 5/26040.Finally, GCF of Fractions for 900/434, 215/840 is 5/26040.