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GCF of 3489/671, 6833/5679

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 3489/671, 6833/5679 i.e 1/3810609 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3489/671, 6833/5679.

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 3489/671,6833/5679?

Given fractions are 3489/671,6833/5679

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 3489/671,6833/5679, numerators are 3489,6833

Denominators are 671,5679

The GCF of 3489,6833 is 1 .

LCM of 671,5679 is 3810609.

The greatest common factor of 3489/671,6833/5679 = [GCF of 3489,6833]/[LCM of 671,5679]= 1/3810609

Therefore, the GCF of 3489/671,6833/5679 is 1/3810609.

Greatest Common Factor of 3489,6833

To find the highest common factor of 3489,6833, we have to find the factors of both numbers and list the highest common factor.

The factors of 3489 are 1, 3, 1163, 3489

The factors of 6833 are 1, 6833

The HCF of 3489,6833 is 1.

Lets's calculate GCF of 3489,6833

Greatest Common Factor (GCF) of 3489,6833 By Common Division

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

Greatest Common Factor of 3489,6833 By Matching Biggest Common Factor Method

Greatest Common Factor of 3489,6833 By Matching Biggest Common Factor Method

Now, list down the factors of 3489

:

1,3,1163,3489

Now, list down the factors of 6833

:

1,6833

Greatest Common Factor

We found the factors 3489,6833 . The biggest common factor number is the GCF number.
So the greatest common factor 3489,6833 is 1.

Lets's calculate LCM of 671,5679

Lowest Common Multiple of 671,5679 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3810609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3810609

Therefore, the GCF of Fractions 3489/671,6833/5679 is 1/3810609

Least Common Multiple of 671,5679 with GCF Formula

Least Common Multiple of 671,5679 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 671,5679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,5679) = 1

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

GCF(671,5679) x common factors =1 x 1 = 1

LCM(671,5679) = ( 671 × 5679 ) / 1

LCM(671,5679) = 3810609 / 1

LCM(671,5679) = 3810609


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3489/671, 6833/5679

1. What is the HCF of 3489,6833?

The HCF of 3489,6833 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 3489/671, 6833/5679?

Answer: GCF of Numerators as per given numbers 3489/671, 6833/5679 is

GCF of Numerators i.e. for 3489,6833 is 1

LCM of denominators i.e. for 671,5679 is 3810609.

Thus, GCF of Fractions is 1/3810609.Finally, GCF of Fractions for 3489/671, 6833/5679 is 1/3810609.