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GCF of 3408/405, 4610/9610

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 3408/405, 4610/9610 i.e 2/778410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3408/405, 4610/9610.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3408/405,4610/9610?

Given fractions are 3408/405,4610/9610

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 3408/405,4610/9610, numerators are 3408,4610

Denominators are 405,9610

The GCF of 3408,4610 is 2 .

LCM of 405,9610 is 778410.

The greatest common factor of 3408/405,4610/9610 = [GCF of 3408,4610]/[LCM of 405,9610]= 2/778410

Therefore, the GCF of 3408/405,4610/9610 is 2/778410.

Greatest Common Factor of 3408,4610

To find the highest common factor of 3408,4610, we have to find the factors of both numbers and list the highest common factor.

The factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408

The factors of 4610 are 1, 2, 5, 10, 461, 922, 2305, 4610

The HCF of 3408,4610 is 2.

Lets's calculate GCF of 3408,4610

Greatest Common Factor (GCF) of 3408,4610 By Common Division

2 3408, 4610
1704, 2305

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3408,4610 By Matching Biggest Common Factor Method

Greatest Common Factor of 3408,4610 By Matching Biggest Common Factor Method

Now, list down the factors of 3408

:

1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408

Now, list down the factors of 4610

:

1,2,5,10,461,922,2305,4610

Greatest Common Factor

We found the factors 3408,4610 . The biggest common factor number is the GCF number.
So the greatest common factor 3408,4610 is 2.


Lets's calculate LCM of 405,9610

Lowest Common Multiple of 405,9610 using Common Division

5 405, 9610
81, 1922

∴ So the LCM of the given numbers is 5 x 81 x 1922 = 778410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/778410

Therefore, the GCF of Fractions 3408/405,4610/9610 is 2/778410

Least Common Multiple of 405,9610 with GCF Formula

Least Common Multiple of 405,9610 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 405,9610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,9610) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(405,9610) x common factors =5 x 1 = 5

LCM(405,9610) = ( 405 × 9610 ) / 5

LCM(405,9610) = 3892050 / 5

LCM(405,9610) = 778410


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3408/405, 4610/9610

1. What is the HCF of 3408,4610?

The HCF of 3408,4610 is 2

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 3408/405, 4610/9610?

Answer: GCF of Numerators as per given numbers 3408/405, 4610/9610 is

GCF of Numerators i.e. for 3408,4610 is 2

LCM of denominators i.e. for 405,9610 is 778410.

Thus, GCF of Fractions is 2/778410.Finally, GCF of Fractions for 3408/405, 4610/9610 is 2/778410.