GCF of 3608/40, 1683/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3608/40, 1683/375 i.e 11/3000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3608/40, 1683/375.
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 3608/40,1683/375?
Given fractions are 3608/40,1683/375
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 3608/40,1683/375, numerators are 3608,1683
Denominators are 40,375
The GCF of 3608,1683 is 11 .
LCM of 40,375 is 3000.
The greatest common factor of 3608/40,1683/375 = [GCF of 3608,1683]/[LCM of 40,375]= 11/3000
Therefore, the GCF of 3608/40,1683/375 is 11/3000.
To find the highest common factor of 3608,1683, we have to find the factors of both numbers and list the highest common factor.
The factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The HCF of 3608,1683 is 11.
Lets's calculate GCF of 3608,1683
| 11 | 3608, 1683 |
| 328, 153 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3608,1683 By Matching Biggest Common Factor Method
Now, list down the factors of 3608
:1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Greatest Common Factor
We found the factors 3608,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 3608,1683 is 11.
Lets's calculate LCM of 40,375
| 5 | 40, 375 |
| 8, 75 |
∴ So the LCM of the given numbers is 5 x 8 x 75 = 3000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3000
Therefore, the GCF of Fractions 3608/40,1683/375 is 11/3000
Least Common Multiple of 40,375 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 40,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,375) x common factors =5 x 1 = 5
LCM(40,375) = ( 40 × 375 ) / 5
LCM(40,375) = 15000 / 5
LCM(40,375) = 3000
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FAQs on GCF of Fractions of 3608/40, 1683/375
1. What is the HCF of 3608,1683?
The HCF of 3608,1683 is 11
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 3608/40, 1683/375?
Answer: GCF of Numerators as per given numbers 3608/40, 1683/375 is
GCF of Numerators i.e. for 3608,1683 is 11
LCM of denominators i.e. for 40,375 is 3000.
Thus, GCF of Fractions is 11/3000.Finally, GCF of Fractions for 3608/40, 1683/375 is 11/3000.