Greatest Common Factor of 84/361, 647/488, 521/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/361, 647/488, 521/411

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 84/361,647/488,521/411

Given fractions are 84/361,647/488,521/411

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 84,647,521

Greatest Common Factor of Numerators i.e. GCF of 84,647,521 is 1 .

LCM of Denominators means LCM of 361,488,411 as per the given fractions.

LCM of 361,488,411 is 72405048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,647,521

GCF of Fractions 84/361,647/488,521/411 is 1/72405048

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

Greatest Common Factor of 84,647,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,647,521 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 84,647,521 . The biggest common factor number is the GCF number.
So the greatest common factor 84,647,521 is 1.

Lets's calculate LCM of 361,488,411

Given numbers has no common factors except 1. So, there LCM is their product i.e 72405048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72405048

Therefore, the GCF of Fractions 84/361,647/488,521/411 is 1/72405048

Least Common Multiple of 361,488,411 with GCF Formula

Least Common Multiple of 361,488,411 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 361,488,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,488,411) = 1

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

GCF(361,488,411) x common factors =1 x 1 = 1

LCM(361,488,411) = ( 361 × 488 × 411 ) / 1

LCM(361,488,411) = 72405048 / 1

LCM(361,488,411) = 72405048


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 84/361, 647/488, 521/411

1. 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.

2. What is the GCF of Fractions for 84/361, 647/488, 521/411?

Answer: GCF of Numerators as per given numbers 84/361, 647/488, 521/411 is

GCF of Numerators i.e. for 84,647,521 is 1

LCM of denominators i.e. for 361,488,411 is 72405048.

Thus, GCF of Fractions is 1/72405048.Finally, GCF of Fractions for 84/361, 647/488, 521/411 is 1/72405048.