Greatest Common Factor of 165/56, 398/55, 460/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/56, 398/55, 460/484

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 165/56,398/55,460/484

Given fractions are 165/56,398/55,460/484

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 165,398,460

Greatest Common Factor of Numerators i.e. GCF of 165,398,460 is 1 .

LCM of Denominators means LCM of 56,55,484 as per the given fractions.

LCM of 56,55,484 is 33880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,398,460

GCF of Fractions 165/56,398/55,460/484 is 1/33880

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

Greatest Common Factor of 165,398,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,398,460 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 165,398,460 . The biggest common factor number is the GCF number.
So the greatest common factor 165,398,460 is 1.

Lets's calculate LCM of 56,55,484

2 56, 55, 484
2 28, 55, 242
11 14, 55, 121
14, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 11 x 14 x 5 x 11 = 33880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33880

Therefore, the GCF of Fractions 165/56,398/55,460/484 is 1/33880

Least Common Multiple of 56,55,484 with GCF Formula

Least Common Multiple of 56,55,484 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 56,55,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,55,484) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(56,55,484) x common factors =1 x 44 = 44

LCM(56,55,484) = ( 56 × 55 × 484 ) / 44

LCM(56,55,484) = 1490720 / 44

LCM(56,55,484) = 33880


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 165/56, 398/55, 460/484

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 165/56, 398/55, 460/484?

Answer: GCF of Numerators as per given numbers 165/56, 398/55, 460/484 is

GCF of Numerators i.e. for 165,398,460 is 1

LCM of denominators i.e. for 56,55,484 is 33880.

Thus, GCF of Fractions is 1/33880.Finally, GCF of Fractions for 165/56, 398/55, 460/484 is 1/33880.