GCF of 3595/122, 4160/6724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3595/122, 4160/6724 i.e 5/410164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3595/122, 4160/6724.
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 3595/122,4160/6724?
Given fractions are 3595/122,4160/6724
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 3595/122,4160/6724, numerators are 3595,4160
Denominators are 122,6724
The GCF of 3595,4160 is 5 .
LCM of 122,6724 is 410164.
The greatest common factor of 3595/122,4160/6724 = [GCF of 3595,4160]/[LCM of 122,6724]= 5/410164
Therefore, the GCF of 3595/122,4160/6724 is 5/410164.
To find the highest common factor of 3595,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 3595 are 1, 5, 719, 3595
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 3595,4160 is 5.
Lets's calculate GCF of 3595,4160
| 5 | 3595, 4160 |
| 719, 832 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3595,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 3595
:1,5,719,3595
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 3595,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 3595,4160 is 5.
Lets's calculate LCM of 122,6724
| 2 | 122, 6724 |
| 61, 3362 |
∴ So the LCM of the given numbers is 2 x 61 x 3362 = 410164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/410164
Therefore, the GCF of Fractions 3595/122,4160/6724 is 5/410164
Least Common Multiple of 122,6724 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 122,6724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,6724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,6724) x common factors =2 x 1 = 2
LCM(122,6724) = ( 122 × 6724 ) / 2
LCM(122,6724) = 820328 / 2
LCM(122,6724) = 410164
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FAQs on GCF of Fractions of 3595/122, 4160/6724
1. What is the HCF of 3595,4160?
The HCF of 3595,4160 is 5
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 3595/122, 4160/6724?
Answer: GCF of Numerators as per given numbers 3595/122, 4160/6724 is
GCF of Numerators i.e. for 3595,4160 is 5
LCM of denominators i.e. for 122,6724 is 410164.
Thus, GCF of Fractions is 5/410164.Finally, GCF of Fractions for 3595/122, 4160/6724 is 5/410164.