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GCF of 3613/489, 6487/3423

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 3613/489, 6487/3423 i.e 1/3423 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3613/489, 6487/3423.

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 3613/489,6487/3423?

Given fractions are 3613/489,6487/3423

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 3613/489,6487/3423, numerators are 3613,6487

Denominators are 489,3423

The GCF of 3613,6487 is 1 .

LCM of 489,3423 is 3423.

The greatest common factor of 3613/489,6487/3423 = [GCF of 3613,6487]/[LCM of 489,3423]= 1/3423

Therefore, the GCF of 3613/489,6487/3423 is 1/3423.

Greatest Common Factor of 3613,6487

To find the highest common factor of 3613,6487, we have to find the factors of both numbers and list the highest common factor.

The factors of 3613 are 1, 3613

The factors of 6487 are 1, 13, 499, 6487

The HCF of 3613,6487 is 1.

Lets's calculate GCF of 3613,6487

Greatest Common Factor (GCF) of 3613,6487 By Common Division

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

Greatest Common Factor of 3613,6487 By Matching Biggest Common Factor Method

Greatest Common Factor of 3613,6487 By Matching Biggest Common Factor Method

Now, list down the factors of 3613

:

1,3613

Now, list down the factors of 6487

:

1,13,499,6487

Greatest Common Factor

We found the factors 3613,6487 . The biggest common factor number is the GCF number.
So the greatest common factor 3613,6487 is 1.

Lets's calculate LCM of 489,3423

Lowest Common Multiple of 489,3423 using Common Division

3 489, 3423
163 163, 1141
1, 7

∴ So the LCM of the given numbers is 3 x 163 x 1 x 7 = 3423

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3423

Therefore, the GCF of Fractions 3613/489,6487/3423 is 1/3423

Least Common Multiple of 489,3423 with GCF Formula

Least Common Multiple of 489,3423 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 489,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,3423) = 489

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

GCF(489,3423) x common factors =489 x 1 = 489

LCM(489,3423) = ( 489 × 3423 ) / 489

LCM(489,3423) = 1673847 / 489

LCM(489,3423) = 3423


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FAQs on GCF of Fractions of 3613/489, 6487/3423

1. What is the HCF of 3613,6487?

The HCF of 3613,6487 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 3613/489, 6487/3423?

Answer: GCF of Numerators as per given numbers 3613/489, 6487/3423 is

GCF of Numerators i.e. for 3613,6487 is 1

LCM of denominators i.e. for 489,3423 is 3423.

Thus, GCF of Fractions is 1/3423.Finally, GCF of Fractions for 3613/489, 6487/3423 is 1/3423.