GCF of 6661/759, 1284/9465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6661/759, 1284/9465 i.e 1/2394645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6661/759, 1284/9465.
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 6661/759,1284/9465?
Given fractions are 6661/759,1284/9465
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 6661/759,1284/9465, numerators are 6661,1284
Denominators are 759,9465
The GCF of 6661,1284 is 1 .
LCM of 759,9465 is 2394645.
The greatest common factor of 6661/759,1284/9465 = [GCF of 6661,1284]/[LCM of 759,9465]= 1/2394645
Therefore, the GCF of 6661/759,1284/9465 is 1/2394645.
To find the highest common factor of 6661,1284, we have to find the factors of both numbers and list the highest common factor.
The factors of 6661 are 1, 6661
The factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
The HCF of 6661,1284 is 1.
Lets's calculate GCF of 6661,1284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6661,1284 By Matching Biggest Common Factor Method
Now, list down the factors of 6661
:1,6661
Now, list down the factors of 1284
:1,2,3,4,6,12,107,214,321,428,642,1284
Greatest Common Factor
We found the factors 6661,1284 . The biggest common factor number is the GCF number.
So the greatest common factor 6661,1284 is 1.
Lets's calculate LCM of 759,9465
| 3 | 759, 9465 |
| 253, 3155 |
∴ So the LCM of the given numbers is 3 x 253 x 3155 = 2394645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2394645
Therefore, the GCF of Fractions 6661/759,1284/9465 is 1/2394645
Least Common Multiple of 759,9465 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 759,9465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,9465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,9465) x common factors =3 x 1 = 3
LCM(759,9465) = ( 759 × 9465 ) / 3
LCM(759,9465) = 7183935 / 3
LCM(759,9465) = 2394645
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FAQs on GCF of Fractions of 6661/759, 1284/9465
1. What is the HCF of 6661,1284?
The HCF of 6661,1284 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 6661/759, 1284/9465?
Answer: GCF of Numerators as per given numbers 6661/759, 1284/9465 is
GCF of Numerators i.e. for 6661,1284 is 1
LCM of denominators i.e. for 759,9465 is 2394645.
Thus, GCF of Fractions is 1/2394645.Finally, GCF of Fractions for 6661/759, 1284/9465 is 1/2394645.