GCF of 3/39, 9/65, 9/75, 66/701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/39, 9/65, 9/75, 66/701 i.e 3/683475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/39, 9/65, 9/75, 66/701.
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 3/39,9/65,9/75,66/701?
Given fractions are 3/39,9/65,9/75,66/701
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 3/39,9/65,9/75,66/701, numerators are 3,9,9,66
Denominators are 39,65,75,701
The GCF of 3,9,9,66 is 3 .
LCM of 39,65,75,701 is 683475.
The greatest common factor of 3/39,9/65,9/75,66/701 = [GCF of 3,9,9,66]/[LCM of 39,65,75,701]= 3/683475
Therefore, the GCF of 3/39,9/65,9/75,66/701 is 3/683475.
To find the highest common factor of 3,9,9,66, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 9 are 1, 3, 9
The factors of 9 are 1, 3, 9
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The HCF of 3,9,9,66 is 3.
Lets's calculate GCF of 3,9,9,66
| 3 | 3, 9, 9, 66 |
| 1, 3, 3, 22 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3,9,9,66 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 3,9,9,66 . The biggest common factor number is the GCF number.
So the greatest common factor 3,9,9,66 is 3.
Lets's calculate LCM of 39,65,75,701
| 3 | 39, 65, 75, 701 |
| 5 | 13, 65, 25, 701 |
| 13 | 13, 13, 5, 701 |
| 1, 1, 5, 701 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 1 x 1 x 5 x 701 = 683475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/683475
Therefore, the GCF of Fractions 3/39,9/65,9/75,66/701 is 3/683475
Least Common Multiple of 39,65,75,701 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 39,65,75,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,65,75,701) = 1
common factors(in case of two or more numbers have common factors) = 195
GCF(39,65,75,701) x common factors =1 x 195 = 195
LCM(39,65,75,701) = ( 39 × 65 × 75 × 701 ) / 195
LCM(39,65,75,701) = 133277625 / 195
LCM(39,65,75,701) = 683475
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3/39, 9/65, 9/75, 66/701
1. What is the HCF of 3,9,9,66?
The HCF of 3,9,9,66 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 3/39, 9/65, 9/75, 66/701?
Answer: GCF of Numerators as per given numbers 3/39, 9/65, 9/75, 66/701 is
GCF of Numerators i.e. for 3,9,9,66 is 3
LCM of denominators i.e. for 39,65,75,701 is 683475.
Thus, GCF of Fractions is 3/683475.Finally, GCF of Fractions for 3/39, 9/65, 9/75, 66/701 is 3/683475.