Greatest Common Factor of 77/481, 492/346, 521/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/481, 492/346, 521/649

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 77/481,492/346,521/649

Given fractions are 77/481,492/346,521/649

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 77,492,521

Greatest Common Factor of Numerators i.e. GCF of 77,492,521 is 1 .

LCM of Denominators means LCM of 481,346,649 as per the given fractions.

LCM of 481,346,649 is 108010474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,492,521

GCF of Fractions 77/481,492/346,521/649 is 1/108010474

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

Greatest Common Factor of 77,492,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,492,521 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

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 77,492,521 . The biggest common factor number is the GCF number.
So the greatest common factor 77,492,521 is 1.

Lets's calculate LCM of 481,346,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 108010474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108010474

Therefore, the GCF of Fractions 77/481,492/346,521/649 is 1/108010474

Least Common Multiple of 481,346,649 with GCF Formula

Least Common Multiple of 481,346,649 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 481,346,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,346,649) = 1

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

GCF(481,346,649) x common factors =1 x 1 = 1

LCM(481,346,649) = ( 481 × 346 × 649 ) / 1

LCM(481,346,649) = 108010474 / 1

LCM(481,346,649) = 108010474


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 77/481, 492/346, 521/649

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 77/481, 492/346, 521/649?

Answer: GCF of Numerators as per given numbers 77/481, 492/346, 521/649 is

GCF of Numerators i.e. for 77,492,521 is 1

LCM of denominators i.e. for 481,346,649 is 108010474.

Thus, GCF of Fractions is 1/108010474.Finally, GCF of Fractions for 77/481, 492/346, 521/649 is 1/108010474.