How to Find GCF of 6683/890, 2539/3468?

GCF of 6683/890, 2539/3468

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 6683/890, 2539/3468 i.e 1/1543260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6683/890, 2539/3468.

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 6683/890,2539/3468?

Given fractions are 6683/890,2539/3468

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 6683/890,2539/3468, numerators are 6683,2539

Denominators are 890,3468

The GCF of 6683,2539 is 1 .

LCM of 890,3468 is 1543260.

The greatest common factor of 6683/890,2539/3468 = [GCF of 6683,2539]/[LCM of 890,3468]= 1/1543260

Therefore, the GCF of 6683/890,2539/3468 is 1/1543260.

Greatest Common Factor of 6683,2539

To find the highest common factor of 6683,2539, we have to find the factors of both numbers and list the highest common factor.

The factors of 6683 are 1, 41, 163, 6683

The factors of 2539 are 1, 2539

The HCF of 6683,2539 is 1.

Lets's calculate GCF of 6683,2539

Greatest Common Factor (GCF) of 6683,2539 By Common Division

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

Greatest Common Factor of 6683,2539 By Matching Biggest Common Factor Method

Now, list down the factors of 6683

1,41,163,6683

Now, list down the factors of 2539

1,2539

Greatest Common Factor

We found the factors 6683,2539 . The biggest common factor number is the GCF number.
So the greatest common factor 6683,2539 is 1.

Lets's calculate LCM of 890,3468

Lowest Common Multiple of 890,3468 using Common Division

2	890, 3468
	445, 1734

∴ So the LCM of the given numbers is 2 x 445 x 1734 = 1543260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1543260

Therefore, the GCF of Fractions 6683/890,2539/3468 is 1/1543260

Least Common Multiple of 890,3468 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 890,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,3468) = 2

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

GCF(890,3468) x common factors =2 x 1 = 2

LCM(890,3468) = ( 890 × 3468 ) / 2

LCM(890,3468) = 3086520 / 2

LCM(890,3468) = 1543260

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FAQs on GCF of Fractions of 6683/890, 2539/3468

1. What is the HCF of 6683,2539?

The HCF of 6683,2539 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 6683/890, 2539/3468?

Answer: GCF of Numerators as per given numbers 6683/890, 2539/3468 is

GCF of Numerators i.e. for 6683,2539 is 1

LCM of denominators i.e. for 890,3468 is 1543260.

Thus, GCF of Fractions is 1/1543260.Finally, GCF of Fractions for 6683/890, 2539/3468 is 1/1543260.