GCF of 384/35, 683/3696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 384/35, 683/3696 i.e 1/18480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/35, 683/3696.
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 384/35,683/3696?
Given fractions are 384/35,683/3696
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 384/35,683/3696, numerators are 384,683
Denominators are 35,3696
The GCF of 384,683 is 1 .
LCM of 35,3696 is 18480.
The greatest common factor of 384/35,683/3696 = [GCF of 384,683]/[LCM of 35,3696]= 1/18480
Therefore, the GCF of 384/35,683/3696 is 1/18480.
To find the highest common factor of 384,683, we have to find the factors of both numbers and list the highest common factor.
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The factors of 683 are 1, 683
The HCF of 384,683 is 1.
Lets's calculate GCF of 384,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 384,683 By Matching Biggest Common Factor Method
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Now, list down the factors of 683
:1,683
Greatest Common Factor
We found the factors 384,683 . The biggest common factor number is the GCF number.
So the greatest common factor 384,683 is 1.
Lets's calculate LCM of 35,3696
| 7 | 35, 3696 |
| 5, 528 |
∴ So the LCM of the given numbers is 7 x 5 x 528 = 18480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18480
Therefore, the GCF of Fractions 384/35,683/3696 is 1/18480
Least Common Multiple of 35,3696 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 35,3696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,3696) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(35,3696) x common factors =7 x 1 = 7
LCM(35,3696) = ( 35 × 3696 ) / 7
LCM(35,3696) = 129360 / 7
LCM(35,3696) = 18480
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FAQs on GCF of Fractions of 384/35, 683/3696
1. What is the HCF of 384,683?
The HCF of 384,683 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 384/35, 683/3696?
Answer: GCF of Numerators as per given numbers 384/35, 683/3696 is
GCF of Numerators i.e. for 384,683 is 1
LCM of denominators i.e. for 35,3696 is 18480.
Thus, GCF of Fractions is 1/18480.Finally, GCF of Fractions for 384/35, 683/3696 is 1/18480.