GCF of 3353/468, 2079/1579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3353/468, 2079/1579 i.e 7/738972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3353/468, 2079/1579.
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 3353/468,2079/1579?
Given fractions are 3353/468,2079/1579
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 3353/468,2079/1579, numerators are 3353,2079
Denominators are 468,1579
The GCF of 3353,2079 is 7 .
LCM of 468,1579 is 738972.
The greatest common factor of 3353/468,2079/1579 = [GCF of 3353,2079]/[LCM of 468,1579]= 7/738972
Therefore, the GCF of 3353/468,2079/1579 is 7/738972.
To find the highest common factor of 3353,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 3353 are 1, 7, 479, 3353
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 3353,2079 is 7.
Lets's calculate GCF of 3353,2079
| 7 | 3353, 2079 |
| 479, 297 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3353,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 3353
:1,7,479,3353
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 3353,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 3353,2079 is 7.
Lets's calculate LCM of 468,1579
Given numbers has no common factors except 1. So, there LCM is their product i.e 738972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/738972
Therefore, the GCF of Fractions 3353/468,2079/1579 is 7/738972
Least Common Multiple of 468,1579 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 468,1579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,1579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(468,1579) x common factors =1 x 1 = 1
LCM(468,1579) = ( 468 × 1579 ) / 1
LCM(468,1579) = 738972 / 1
LCM(468,1579) = 738972
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FAQs on GCF of Fractions of 3353/468, 2079/1579
1. What is the HCF of 3353,2079?
The HCF of 3353,2079 is 7
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 3353/468, 2079/1579?
Answer: GCF of Numerators as per given numbers 3353/468, 2079/1579 is
GCF of Numerators i.e. for 3353,2079 is 7
LCM of denominators i.e. for 468,1579 is 738972.
Thus, GCF of Fractions is 7/738972.Finally, GCF of Fractions for 3353/468, 2079/1579 is 7/738972.