GCF of 339/365, 3675/8640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 339/365, 3675/8640 i.e 3/630720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 339/365, 3675/8640.
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 339/365,3675/8640?
Given fractions are 339/365,3675/8640
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 339/365,3675/8640, numerators are 339,3675
Denominators are 365,8640
The GCF of 339,3675 is 3 .
LCM of 365,8640 is 630720.
The greatest common factor of 339/365,3675/8640 = [GCF of 339,3675]/[LCM of 365,8640]= 3/630720
Therefore, the GCF of 339/365,3675/8640 is 3/630720.
To find the highest common factor of 339,3675, we have to find the factors of both numbers and list the highest common factor.
The factors of 339 are 1, 3, 113, 339
The factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
The HCF of 339,3675 is 3.
Lets's calculate GCF of 339,3675
| 3 | 339, 3675 |
| 113, 1225 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 339,3675 By Matching Biggest Common Factor Method
Now, list down the factors of 339
:1,3,113,339
Now, list down the factors of 3675
:1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675
Greatest Common Factor
We found the factors 339,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 339,3675 is 3.
Lets's calculate LCM of 365,8640
| 5 | 365, 8640 |
| 73, 1728 |
∴ So the LCM of the given numbers is 5 x 73 x 1728 = 630720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/630720
Therefore, the GCF of Fractions 339/365,3675/8640 is 3/630720
Least Common Multiple of 365,8640 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 365,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,8640) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,8640) x common factors =5 x 1 = 5
LCM(365,8640) = ( 365 × 8640 ) / 5
LCM(365,8640) = 3153600 / 5
LCM(365,8640) = 630720
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FAQs on GCF of Fractions of 339/365, 3675/8640
1. What is the HCF of 339,3675?
The HCF of 339,3675 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 339/365, 3675/8640?
Answer: GCF of Numerators as per given numbers 339/365, 3675/8640 is
GCF of Numerators i.e. for 339,3675 is 3
LCM of denominators i.e. for 365,8640 is 630720.
Thus, GCF of Fractions is 3/630720.Finally, GCF of Fractions for 339/365, 3675/8640 is 3/630720.