GCF of 3382/321, 5986/5976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3382/321, 5986/5976 i.e 2/639432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3382/321, 5986/5976.
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 3382/321,5986/5976?
Given fractions are 3382/321,5986/5976
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 3382/321,5986/5976, numerators are 3382,5986
Denominators are 321,5976
The GCF of 3382,5986 is 2 .
LCM of 321,5976 is 639432.
The greatest common factor of 3382/321,5986/5976 = [GCF of 3382,5986]/[LCM of 321,5976]= 2/639432
Therefore, the GCF of 3382/321,5986/5976 is 2/639432.
To find the highest common factor of 3382,5986, we have to find the factors of both numbers and list the highest common factor.
The factors of 3382 are 1, 2, 19, 38, 89, 178, 1691, 3382
The factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986
The HCF of 3382,5986 is 2.
Lets's calculate GCF of 3382,5986
| 2 | 3382, 5986 |
| 1691, 2993 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3382,5986 By Matching Biggest Common Factor Method
Now, list down the factors of 3382
:1,2,19,38,89,178,1691,3382
Now, list down the factors of 5986
:1,2,41,73,82,146,2993,5986
Greatest Common Factor
We found the factors 3382,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 3382,5986 is 2.
Lets's calculate LCM of 321,5976
| 3 | 321, 5976 |
| 107, 1992 |
∴ So the LCM of the given numbers is 3 x 107 x 1992 = 639432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/639432
Therefore, the GCF of Fractions 3382/321,5986/5976 is 2/639432
Least Common Multiple of 321,5976 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 321,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,5976) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(321,5976) x common factors =3 x 1 = 3
LCM(321,5976) = ( 321 × 5976 ) / 3
LCM(321,5976) = 1918296 / 3
LCM(321,5976) = 639432
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FAQs on GCF of Fractions of 3382/321, 5986/5976
1. What is the HCF of 3382,5986?
The HCF of 3382,5986 is 2
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 3382/321, 5986/5976?
Answer: GCF of Numerators as per given numbers 3382/321, 5986/5976 is
GCF of Numerators i.e. for 3382,5986 is 2
LCM of denominators i.e. for 321,5976 is 639432.
Thus, GCF of Fractions is 2/639432.Finally, GCF of Fractions for 3382/321, 5986/5976 is 2/639432.