GCF of 3303/759, 3642/1689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3303/759, 3642/1689 i.e 3/427317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3303/759, 3642/1689.
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 3303/759,3642/1689?
Given fractions are 3303/759,3642/1689
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 3303/759,3642/1689, numerators are 3303,3642
Denominators are 759,1689
The GCF of 3303,3642 is 3 .
LCM of 759,1689 is 427317.
The greatest common factor of 3303/759,3642/1689 = [GCF of 3303,3642]/[LCM of 759,1689]= 3/427317
Therefore, the GCF of 3303/759,3642/1689 is 3/427317.
To find the highest common factor of 3303,3642, we have to find the factors of both numbers and list the highest common factor.
The factors of 3303 are 1, 3, 9, 367, 1101, 3303
The factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642
The HCF of 3303,3642 is 3.
Lets's calculate GCF of 3303,3642
| 3 | 3303, 3642 |
| 1101, 1214 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3303,3642 By Matching Biggest Common Factor Method
Now, list down the factors of 3303
:1,3,9,367,1101,3303
Now, list down the factors of 3642
:1,2,3,6,607,1214,1821,3642
Greatest Common Factor
We found the factors 3303,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 3303,3642 is 3.
Lets's calculate LCM of 759,1689
| 3 | 759, 1689 |
| 253, 563 |
∴ So the LCM of the given numbers is 3 x 253 x 563 = 427317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/427317
Therefore, the GCF of Fractions 3303/759,3642/1689 is 3/427317
Least Common Multiple of 759,1689 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 759,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,1689) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(759,1689) x common factors =3 x 1 = 3
LCM(759,1689) = ( 759 × 1689 ) / 3
LCM(759,1689) = 1281951 / 3
LCM(759,1689) = 427317
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FAQs on GCF of Fractions of 3303/759, 3642/1689
1. What is the HCF of 3303,3642?
The HCF of 3303,3642 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 3303/759, 3642/1689?
Answer: GCF of Numerators as per given numbers 3303/759, 3642/1689 is
GCF of Numerators i.e. for 3303,3642 is 3
LCM of denominators i.e. for 759,1689 is 427317.
Thus, GCF of Fractions is 3/427317.Finally, GCF of Fractions for 3303/759, 3642/1689 is 3/427317.