GCF of 3679/185, 2079/585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3679/185, 2079/585 i.e 1/21645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3679/185, 2079/585.
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 3679/185,2079/585?
Given fractions are 3679/185,2079/585
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 3679/185,2079/585, numerators are 3679,2079
Denominators are 185,585
The GCF of 3679,2079 is 1 .
LCM of 185,585 is 21645.
The greatest common factor of 3679/185,2079/585 = [GCF of 3679,2079]/[LCM of 185,585]= 1/21645
Therefore, the GCF of 3679/185,2079/585 is 1/21645.
To find the highest common factor of 3679,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 3679 are 1, 13, 283, 3679
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 3679,2079 is 1.
Lets's calculate GCF of 3679,2079
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3679,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 3679
:1,13,283,3679
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 3679,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 3679,2079 is 1.
Lets's calculate LCM of 185,585
| 5 | 185, 585 |
| 37, 117 |
∴ So the LCM of the given numbers is 5 x 37 x 117 = 21645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21645
Therefore, the GCF of Fractions 3679/185,2079/585 is 1/21645
Least Common Multiple of 185,585 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 185,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(185,585) x common factors =5 x 1 = 5
LCM(185,585) = ( 185 × 585 ) / 5
LCM(185,585) = 108225 / 5
LCM(185,585) = 21645
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FAQs on GCF of Fractions of 3679/185, 2079/585
1. What is the HCF of 3679,2079?
The HCF of 3679,2079 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 3679/185, 2079/585?
Answer: GCF of Numerators as per given numbers 3679/185, 2079/585 is
GCF of Numerators i.e. for 3679,2079 is 1
LCM of denominators i.e. for 185,585 is 21645.
Thus, GCF of Fractions is 1/21645.Finally, GCF of Fractions for 3679/185, 2079/585 is 1/21645.