GCF of 3805/366, 3318/5391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3805/366, 3318/5391 i.e 1/657702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3805/366, 3318/5391.
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 3805/366,3318/5391?
Given fractions are 3805/366,3318/5391
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 3805/366,3318/5391, numerators are 3805,3318
Denominators are 366,5391
The GCF of 3805,3318 is 1 .
LCM of 366,5391 is 657702.
The greatest common factor of 3805/366,3318/5391 = [GCF of 3805,3318]/[LCM of 366,5391]= 1/657702
Therefore, the GCF of 3805/366,3318/5391 is 1/657702.
To find the highest common factor of 3805,3318, we have to find the factors of both numbers and list the highest common factor.
The factors of 3805 are 1, 5, 761, 3805
The factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318
The HCF of 3805,3318 is 1.
Lets's calculate GCF of 3805,3318
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3805,3318 By Matching Biggest Common Factor Method
Now, list down the factors of 3805
:1,5,761,3805
Now, list down the factors of 3318
:1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318
Greatest Common Factor
We found the factors 3805,3318 . The biggest common factor number is the GCF number.
So the greatest common factor 3805,3318 is 1.
Lets's calculate LCM of 366,5391
| 3 | 366, 5391 |
| 122, 1797 |
∴ So the LCM of the given numbers is 3 x 122 x 1797 = 657702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657702
Therefore, the GCF of Fractions 3805/366,3318/5391 is 1/657702
Least Common Multiple of 366,5391 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 366,5391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,5391) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(366,5391) x common factors =3 x 1 = 3
LCM(366,5391) = ( 366 × 5391 ) / 3
LCM(366,5391) = 1973106 / 3
LCM(366,5391) = 657702
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FAQs on GCF of Fractions of 3805/366, 3318/5391
1. What is the HCF of 3805,3318?
The HCF of 3805,3318 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 3805/366, 3318/5391?
Answer: GCF of Numerators as per given numbers 3805/366, 3318/5391 is
GCF of Numerators i.e. for 3805,3318 is 1
LCM of denominators i.e. for 366,5391 is 657702.
Thus, GCF of Fractions is 1/657702.Finally, GCF of Fractions for 3805/366, 3318/5391 is 1/657702.