GCF of 324/502, 3680/729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/502, 3680/729 i.e 4/365958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/502, 3680/729.
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 324/502,3680/729?
Given fractions are 324/502,3680/729
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 324/502,3680/729, numerators are 324,3680
Denominators are 502,729
The GCF of 324,3680 is 4 .
LCM of 502,729 is 365958.
The greatest common factor of 324/502,3680/729 = [GCF of 324,3680]/[LCM of 502,729]= 4/365958
Therefore, the GCF of 324/502,3680/729 is 4/365958.
To find the highest common factor of 324,3680, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 3680 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 736, 920, 1840, 3680
The HCF of 324,3680 is 4.
Lets's calculate GCF of 324,3680
| 2 | 324, 3680 |
| 2 | 162, 1840 |
| 81, 920 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 324,3680 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 3680
:1,2,4,5,8,10,16,20,23,32,40,46,80,92,115,160,184,230,368,460,736,920,1840,3680
Greatest Common Factor
We found the factors 324,3680 . The biggest common factor number is the GCF number.
So the greatest common factor 324,3680 is 4.
Lets's calculate LCM of 502,729
Given numbers has no common factors except 1. So, there LCM is their product i.e 365958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/365958
Therefore, the GCF of Fractions 324/502,3680/729 is 4/365958
Least Common Multiple of 502,729 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 502,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,729) x common factors =1 x 1 = 1
LCM(502,729) = ( 502 × 729 ) / 1
LCM(502,729) = 365958 / 1
LCM(502,729) = 365958
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FAQs on GCF of Fractions of 324/502, 3680/729
1. What is the HCF of 324,3680?
The HCF of 324,3680 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 324/502, 3680/729?
Answer: GCF of Numerators as per given numbers 324/502, 3680/729 is
GCF of Numerators i.e. for 324,3680 is 4
LCM of denominators i.e. for 502,729 is 365958.
Thus, GCF of Fractions is 4/365958.Finally, GCF of Fractions for 324/502, 3680/729 is 4/365958.