GCF of 3385/265, 6585/6315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3385/265, 6585/6315 i.e 5/334695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3385/265, 6585/6315.
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 3385/265,6585/6315?
Given fractions are 3385/265,6585/6315
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 3385/265,6585/6315, numerators are 3385,6585
Denominators are 265,6315
The GCF of 3385,6585 is 5 .
LCM of 265,6315 is 334695.
The greatest common factor of 3385/265,6585/6315 = [GCF of 3385,6585]/[LCM of 265,6315]= 5/334695
Therefore, the GCF of 3385/265,6585/6315 is 5/334695.
To find the highest common factor of 3385,6585, we have to find the factors of both numbers and list the highest common factor.
The factors of 3385 are 1, 5, 677, 3385
The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585
The HCF of 3385,6585 is 5.
Lets's calculate GCF of 3385,6585
| 5 | 3385, 6585 |
| 677, 1317 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3385,6585 By Matching Biggest Common Factor Method
Now, list down the factors of 3385
:1,5,677,3385
Now, list down the factors of 6585
:1,3,5,15,439,1317,2195,6585
Greatest Common Factor
We found the factors 3385,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 3385,6585 is 5.
Lets's calculate LCM of 265,6315
| 5 | 265, 6315 |
| 53, 1263 |
∴ So the LCM of the given numbers is 5 x 53 x 1263 = 334695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/334695
Therefore, the GCF of Fractions 3385/265,6585/6315 is 5/334695
Least Common Multiple of 265,6315 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 265,6315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,6315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,6315) x common factors =5 x 1 = 5
LCM(265,6315) = ( 265 × 6315 ) / 5
LCM(265,6315) = 1673475 / 5
LCM(265,6315) = 334695
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FAQs on GCF of Fractions of 3385/265, 6585/6315
1. What is the HCF of 3385,6585?
The HCF of 3385,6585 is 5
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 3385/265, 6585/6315?
Answer: GCF of Numerators as per given numbers 3385/265, 6585/6315 is
GCF of Numerators i.e. for 3385,6585 is 5
LCM of denominators i.e. for 265,6315 is 334695.
Thus, GCF of Fractions is 5/334695.Finally, GCF of Fractions for 3385/265, 6585/6315 is 5/334695.