GCF of 81/306, 900/249, 807/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/306, 900/249, 807/866 i.e 3/10997334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/306, 900/249, 807/866.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 81/306,900/249,807/866?
Given fractions are 81/306,900/249,807/866
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 81/306,900/249,807/866, numerators are 81,900,807
Denominators are 306,249,866
The GCF of 81,900,807 is 3 .
LCM of 306,249,866 is 10997334.
The greatest common factor of 81/306,900/249,807/866 = [GCF of 81,900,807]/[LCM of 306,249,866]= 3/10997334
Therefore, the GCF of 81/306,900/249,807/866 is 3/10997334.
To find the highest common factor of 81,900,807, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
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 807 are 1, 3, 269, 807
The HCF of 81,900,807 is 3.
Lets's calculate GCF of 81,900,807
| 3 | 81, 900, 807 |
| 27, 300, 269 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 81,900,807 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
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 807
:1,3,269,807
Greatest Common Factor
We found the factors 81,900,807 . The biggest common factor number is the GCF number.
So the greatest common factor 81,900,807 is 3.
Lets's calculate LCM of 306,249,866
| 2 | 306, 249, 866 |
| 3 | 153, 249, 433 |
| 51, 83, 433 |
∴ So the LCM of the given numbers is 2 x 3 x 51 x 83 x 433 = 10997334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10997334
Therefore, the GCF of Fractions 81/306,900/249,807/866 is 3/10997334
Least Common Multiple of 306,249,866 with GCF Formula
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 306,249,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,249,866) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(306,249,866) x common factors =1 x 6 = 6
LCM(306,249,866) = ( 306 × 249 × 866 ) / 6
LCM(306,249,866) = 65984004 / 6
LCM(306,249,866) = 10997334
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FAQs on GCF of Fractions of 81/306, 900/249, 807/866
1. What is the HCF of 81,900,807?
The HCF of 81,900,807 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 81/306, 900/249, 807/866?
Answer: GCF of Numerators as per given numbers 81/306, 900/249, 807/866 is
GCF of Numerators i.e. for 81,900,807 is 3
LCM of denominators i.e. for 306,249,866 is 10997334.
Thus, GCF of Fractions is 3/10997334.Finally, GCF of Fractions for 81/306, 900/249, 807/866 is 3/10997334.