Use our free GCF of Fractions Calculator tool to compute the GCF of 69/547, 900/733, 261/671 i.e 3/269038121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/547, 900/733, 261/671.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/547,900/733,261/671
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 69/547,900/733,261/671, numerators are 69,900,261
Denominators are 547,733,671
The GCF of 69,900,261 is 3 .
LCM of 547,733,671 is 269038121.
The greatest common factor of 69/547,900/733,261/671 = [GCF of 69,900,261]/[LCM of 547,733,671]= 3/269038121
Therefore, the GCF of 69/547,900/733,261/671 is 3/269038121.
To find the highest common factor of 69,900,261, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
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 261 are 1, 3, 9, 29, 87, 261
The HCF of 69,900,261 is 3.
Lets's calculate GCF of 69,900,261
3 | 69, 900, 261 |
23, 300, 87 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 69
:1,3,23,69
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 261
:1,3,9,29,87,261
Greatest Common Factor
We found the factors 69,900,261 . The biggest common factor number is the GCF number.
So the greatest common factor 69,900,261 is 3.
Lets's calculate LCM of 547,733,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 269038121
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/269038121
Therefore, the GCF of Fractions 69/547,900/733,261/671 is 3/269038121
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 547,733,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,733,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,733,671) x common factors =1 x 1 = 1
LCM(547,733,671) = ( 547 × 733 × 671 ) / 1
LCM(547,733,671) = 269038121 / 1
LCM(547,733,671) = 269038121
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,900,261?
The HCF of 69,900,261 is 3
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 69/547, 900/733, 261/671?
Answer: GCF of Numerators as per given numbers 69/547, 900/733, 261/671 is
GCF of Numerators i.e. for 69,900,261 is 3
LCM of denominators i.e. for 547,733,671 is 269038121.
Thus, GCF of Fractions is 3/269038121.Finally, GCF of Fractions for 69/547, 900/733, 261/671 is 3/269038121.