GCF of 3639/342, 7464/1512
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3639/342, 7464/1512 i.e 3/28728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3639/342, 7464/1512.
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 3639/342,7464/1512?
Given fractions are 3639/342,7464/1512
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 3639/342,7464/1512, numerators are 3639,7464
Denominators are 342,1512
The GCF of 3639,7464 is 3 .
LCM of 342,1512 is 28728.
The greatest common factor of 3639/342,7464/1512 = [GCF of 3639,7464]/[LCM of 342,1512]= 3/28728
Therefore, the GCF of 3639/342,7464/1512 is 3/28728.
To find the highest common factor of 3639,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 3639 are 1, 3, 1213, 3639
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 3639,7464 is 3.
Lets's calculate GCF of 3639,7464
| 3 | 3639, 7464 |
| 1213, 2488 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3639,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 3639
:1,3,1213,3639
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 3639,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 3639,7464 is 3.
Lets's calculate LCM of 342,1512
| 2 | 342, 1512 |
| 3 | 171, 756 |
| 3 | 57, 252 |
| 19, 84 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 84 = 28728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28728
Therefore, the GCF of Fractions 3639/342,7464/1512 is 3/28728
Least Common Multiple of 342,1512 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 342,1512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,1512) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(342,1512) x common factors =18 x 1 = 18
LCM(342,1512) = ( 342 × 1512 ) / 18
LCM(342,1512) = 517104 / 18
LCM(342,1512) = 28728
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FAQs on GCF of Fractions of 3639/342, 7464/1512
1. What is the HCF of 3639,7464?
The HCF of 3639,7464 is 3
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 3639/342, 7464/1512?
Answer: GCF of Numerators as per given numbers 3639/342, 7464/1512 is
GCF of Numerators i.e. for 3639,7464 is 3
LCM of denominators i.e. for 342,1512 is 28728.
Thus, GCF of Fractions is 3/28728.Finally, GCF of Fractions for 3639/342, 7464/1512 is 3/28728.