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GCF of 3415/470, 4393/2096

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 3415/470, 4393/2096 i.e 1/492560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3415/470, 4393/2096.

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 3415/470,4393/2096?

Given fractions are 3415/470,4393/2096

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 3415/470,4393/2096, numerators are 3415,4393

Denominators are 470,2096

The GCF of 3415,4393 is 1 .

LCM of 470,2096 is 492560.

The greatest common factor of 3415/470,4393/2096 = [GCF of 3415,4393]/[LCM of 470,2096]= 1/492560

Therefore, the GCF of 3415/470,4393/2096 is 1/492560.

Greatest Common Factor of 3415,4393

To find the highest common factor of 3415,4393, we have to find the factors of both numbers and list the highest common factor.

The factors of 3415 are 1, 5, 683, 3415

The factors of 4393 are 1, 23, 191, 4393

The HCF of 3415,4393 is 1.

Lets's calculate GCF of 3415,4393

Greatest Common Factor (GCF) of 3415,4393 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3415,4393 By Matching Biggest Common Factor Method

Greatest Common Factor of 3415,4393 By Matching Biggest Common Factor Method

Now, list down the factors of 3415

:

1,5,683,3415

Now, list down the factors of 4393

:

1,23,191,4393

Greatest Common Factor

We found the factors 3415,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 3415,4393 is 1.

Lets's calculate LCM of 470,2096

Lowest Common Multiple of 470,2096 using Common Division

2 470, 2096
235, 1048

∴ So the LCM of the given numbers is 2 x 235 x 1048 = 492560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492560

Therefore, the GCF of Fractions 3415/470,4393/2096 is 1/492560

Least Common Multiple of 470,2096 with GCF Formula

Least Common Multiple of 470,2096 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 470,2096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,2096) = 2

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

GCF(470,2096) x common factors =2 x 1 = 2

LCM(470,2096) = ( 470 × 2096 ) / 2

LCM(470,2096) = 985120 / 2

LCM(470,2096) = 492560


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3415/470, 4393/2096

1. What is the HCF of 3415,4393?

The HCF of 3415,4393 is 1

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 3415/470, 4393/2096?

Answer: GCF of Numerators as per given numbers 3415/470, 4393/2096 is

GCF of Numerators i.e. for 3415,4393 is 1

LCM of denominators i.e. for 470,2096 is 492560.

Thus, GCF of Fractions is 1/492560.Finally, GCF of Fractions for 3415/470, 4393/2096 is 1/492560.