GCF of 866/900, 747/333, 985/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 866/900, 747/333, 985/420 i.e 1/233100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 866/900, 747/333, 985/420.
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 866/900,747/333,985/420?
Given fractions are 866/900,747/333,985/420
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 866/900,747/333,985/420, numerators are 866,747,985
Denominators are 900,333,420
The GCF of 866,747,985 is 1 .
LCM of 900,333,420 is 233100.
The greatest common factor of 866/900,747/333,985/420 = [GCF of 866,747,985]/[LCM of 900,333,420]= 1/233100
Therefore, the GCF of 866/900,747/333,985/420 is 1/233100.
To find the highest common factor of 866,747,985, we have to find the factors of both numbers and list the highest common factor.
The factors of 866 are 1, 2, 433, 866
The factors of 747 are 1, 3, 9, 83, 249, 747
The factors of 985 are 1, 5, 197, 985
The HCF of 866,747,985 is 1.
Lets's calculate GCF of 866,747,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 866,747,985 By Matching Biggest Common Factor Method
Now, list down the factors of 866
:1,2,433,866
Now, list down the factors of 747
:1,3,9,83,249,747
Now, list down the factors of 985
:1,5,197,985
Greatest Common Factor
We found the factors 866,747,985 . The biggest common factor number is the GCF number.
So the greatest common factor 866,747,985 is 1.
Lets's calculate LCM of 900,333,420
| 2 | 900, 333, 420 |
| 2 | 450, 333, 210 |
| 3 | 225, 333, 105 |
| 3 | 75, 111, 35 |
| 5 | 25, 37, 35 |
| 5, 37, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 5 x 37 x 7 = 233100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233100
Therefore, the GCF of Fractions 866/900,747/333,985/420 is 1/233100
Least Common Multiple of 900,333,420 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 900,333,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,333,420) = 3
common factors(in case of two or more numbers have common factors) = 180
GCF(900,333,420) x common factors =3 x 180 = 540
LCM(900,333,420) = ( 900 × 333 × 420 ) / 540
LCM(900,333,420) = 125874000 / 540
LCM(900,333,420) = 233100
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 866/900, 747/333, 985/420
1. What is the HCF of 866,747,985?
The HCF of 866,747,985 is 1
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 866/900, 747/333, 985/420?
Answer: GCF of Numerators as per given numbers 866/900, 747/333, 985/420 is
GCF of Numerators i.e. for 866,747,985 is 1
LCM of denominators i.e. for 900,333,420 is 233100.
Thus, GCF of Fractions is 1/233100.Finally, GCF of Fractions for 866/900, 747/333, 985/420 is 1/233100.