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GCF of 3499/705, 1393/2809

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 3499/705, 1393/2809 i.e 1/1980345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3499/705, 1393/2809.

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 3499/705,1393/2809?

Given fractions are 3499/705,1393/2809

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 3499/705,1393/2809, numerators are 3499,1393

Denominators are 705,2809

The GCF of 3499,1393 is 1 .

LCM of 705,2809 is 1980345.

The greatest common factor of 3499/705,1393/2809 = [GCF of 3499,1393]/[LCM of 705,2809]= 1/1980345

Therefore, the GCF of 3499/705,1393/2809 is 1/1980345.

Greatest Common Factor of 3499,1393

To find the highest common factor of 3499,1393, we have to find the factors of both numbers and list the highest common factor.

The factors of 3499 are 1, 3499

The factors of 1393 are 1, 7, 199, 1393

The HCF of 3499,1393 is 1.

Lets's calculate GCF of 3499,1393

Greatest Common Factor (GCF) of 3499,1393 By Common Division

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

Greatest Common Factor of 3499,1393 By Matching Biggest Common Factor Method

Greatest Common Factor of 3499,1393 By Matching Biggest Common Factor Method

Now, list down the factors of 3499

:

1,3499

Now, list down the factors of 1393

:

1,7,199,1393

Greatest Common Factor

We found the factors 3499,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 3499,1393 is 1.

Lets's calculate LCM of 705,2809

Lowest Common Multiple of 705,2809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1980345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1980345

Therefore, the GCF of Fractions 3499/705,1393/2809 is 1/1980345

Least Common Multiple of 705,2809 with GCF Formula

Least Common Multiple of 705,2809 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 705,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,2809) = 1

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

GCF(705,2809) x common factors =1 x 1 = 1

LCM(705,2809) = ( 705 × 2809 ) / 1

LCM(705,2809) = 1980345 / 1

LCM(705,2809) = 1980345


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FAQs on GCF of Fractions of 3499/705, 1393/2809

1. What is the HCF of 3499,1393?

The HCF of 3499,1393 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 3499/705, 1393/2809?

Answer: GCF of Numerators as per given numbers 3499/705, 1393/2809 is

GCF of Numerators i.e. for 3499,1393 is 1

LCM of denominators i.e. for 705,2809 is 1980345.

Thus, GCF of Fractions is 1/1980345.Finally, GCF of Fractions for 3499/705, 1393/2809 is 1/1980345.