GCF of 3688/921, 4524/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3688/921, 4524/3144 i.e 4/965208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3688/921, 4524/3144.
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 3688/921,4524/3144?
Given fractions are 3688/921,4524/3144
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 3688/921,4524/3144, numerators are 3688,4524
Denominators are 921,3144
The GCF of 3688,4524 is 4 .
LCM of 921,3144 is 965208.
The greatest common factor of 3688/921,4524/3144 = [GCF of 3688,4524]/[LCM of 921,3144]= 4/965208
Therefore, the GCF of 3688/921,4524/3144 is 4/965208.
To find the highest common factor of 3688,4524, we have to find the factors of both numbers and list the highest common factor.
The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688
The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524
The HCF of 3688,4524 is 4.
Lets's calculate GCF of 3688,4524
| 2 | 3688, 4524 |
| 2 | 1844, 2262 |
| 922, 1131 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3688,4524 By Matching Biggest Common Factor Method
Now, list down the factors of 3688
:1,2,4,8,461,922,1844,3688
Now, list down the factors of 4524
:1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524
Greatest Common Factor
We found the factors 3688,4524 . The biggest common factor number is the GCF number.
So the greatest common factor 3688,4524 is 4.
Lets's calculate LCM of 921,3144
| 3 | 921, 3144 |
| 307, 1048 |
∴ So the LCM of the given numbers is 3 x 307 x 1048 = 965208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/965208
Therefore, the GCF of Fractions 3688/921,4524/3144 is 4/965208
Least Common Multiple of 921,3144 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 921,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,3144) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,3144) x common factors =3 x 1 = 3
LCM(921,3144) = ( 921 × 3144 ) / 3
LCM(921,3144) = 2895624 / 3
LCM(921,3144) = 965208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3688/921, 4524/3144
1. What is the HCF of 3688,4524?
The HCF of 3688,4524 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 3688/921, 4524/3144?
Answer: GCF of Numerators as per given numbers 3688/921, 4524/3144 is
GCF of Numerators i.e. for 3688,4524 is 4
LCM of denominators i.e. for 921,3144 is 965208.
Thus, GCF of Fractions is 4/965208.Finally, GCF of Fractions for 3688/921, 4524/3144 is 4/965208.