Greatest Common Factor of 482/95, 498/39, 775/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 482/95, 498/39, 775/771

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 482/95,498/39,775/771

Given fractions are 482/95,498/39,775/771

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 482,498,775

Greatest Common Factor of Numerators i.e. GCF of 482,498,775 is 1 .

LCM of Denominators means LCM of 95,39,771 as per the given fractions.

LCM of 95,39,771 is 952185 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 482,498,775

GCF of Fractions 482/95,498/39,775/771 is 1/952185

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

Greatest Common Factor of 482,498,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,498,775 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 482,498,775 . The biggest common factor number is the GCF number.
So the greatest common factor 482,498,775 is 1.

Lets's calculate LCM of 95,39,771

3 95, 39, 771
95, 13, 257

∴ So the LCM of the given numbers is 3 x 95 x 13 x 257 = 952185

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/952185

Therefore, the GCF of Fractions 482/95,498/39,775/771 is 1/952185

Least Common Multiple of 95,39,771 with GCF Formula

Least Common Multiple of 95,39,771 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 95,39,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,39,771) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(95,39,771) x common factors =1 x 3 = 3

LCM(95,39,771) = ( 95 × 39 × 771 ) / 3

LCM(95,39,771) = 2856555 / 3

LCM(95,39,771) = 952185


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 482/95, 498/39, 775/771

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 482/95, 498/39, 775/771?

Answer: GCF of Numerators as per given numbers 482/95, 498/39, 775/771 is

GCF of Numerators i.e. for 482,498,775 is 1

LCM of denominators i.e. for 95,39,771 is 952185.

Thus, GCF of Fractions is 1/952185.Finally, GCF of Fractions for 482/95, 498/39, 775/771 is 1/952185.