GCF of 3736/336, 8132/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3736/336, 8132/721 i.e 4/34608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3736/336, 8132/721.
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 3736/336,8132/721?
Given fractions are 3736/336,8132/721
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 3736/336,8132/721, numerators are 3736,8132
Denominators are 336,721
The GCF of 3736,8132 is 4 .
LCM of 336,721 is 34608.
The greatest common factor of 3736/336,8132/721 = [GCF of 3736,8132]/[LCM of 336,721]= 4/34608
Therefore, the GCF of 3736/336,8132/721 is 4/34608.
To find the highest common factor of 3736,8132, we have to find the factors of both numbers and list the highest common factor.
The factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736
The factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132
The HCF of 3736,8132 is 4.
Lets's calculate GCF of 3736,8132
| 2 | 3736, 8132 |
| 2 | 1868, 4066 |
| 934, 2033 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3736,8132 By Matching Biggest Common Factor Method
Now, list down the factors of 3736
:1,2,4,8,467,934,1868,3736
Now, list down the factors of 8132
:1,2,4,19,38,76,107,214,428,2033,4066,8132
Greatest Common Factor
We found the factors 3736,8132 . The biggest common factor number is the GCF number.
So the greatest common factor 3736,8132 is 4.
Lets's calculate LCM of 336,721
| 7 | 336, 721 |
| 48, 103 |
∴ So the LCM of the given numbers is 7 x 48 x 103 = 34608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34608
Therefore, the GCF of Fractions 3736/336,8132/721 is 4/34608
Least Common Multiple of 336,721 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 336,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,721) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(336,721) x common factors =7 x 1 = 7
LCM(336,721) = ( 336 × 721 ) / 7
LCM(336,721) = 242256 / 7
LCM(336,721) = 34608
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3736/336, 8132/721
1. What is the HCF of 3736,8132?
The HCF of 3736,8132 is 4
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 3736/336, 8132/721?
Answer: GCF of Numerators as per given numbers 3736/336, 8132/721 is
GCF of Numerators i.e. for 3736,8132 is 4
LCM of denominators i.e. for 336,721 is 34608.
Thus, GCF of Fractions is 4/34608.Finally, GCF of Fractions for 3736/336, 8132/721 is 4/34608.