Greatest Common Factor of 48/811, 832/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/811, 832/514

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 48/811,832/514

Given fractions are 48/811,832/514

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 48,832

Greatest Common Factor of Numerators i.e. GCF of 48,832 is 16 .

LCM of Denominators means LCM of 811,514 as per the given fractions.

LCM of 811,514 is 416854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,832

GCF of Fractions 48/811,832/514 is 16/416854

2 48, 832
2 24, 416
2 12, 208
2 6, 104
3, 52

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 48,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,832 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 48,832 . The biggest common factor number is the GCF number.
So the greatest common factor 48,832 is 16.

Lets's calculate LCM of 811,514

Given numbers has no common factors except 1. So, there LCM is their product i.e 416854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/416854

Therefore, the GCF of Fractions 48/811,832/514 is 16/416854

Least Common Multiple of 811,514 with GCF Formula

Least Common Multiple of 811,514 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 811,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,514) = 1

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

GCF(811,514) x common factors =1 x 1 = 1

LCM(811,514) = ( 811 × 514 ) / 1

LCM(811,514) = 416854 / 1

LCM(811,514) = 416854


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 48/811, 832/514

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 48/811, 832/514?

Answer: GCF of Numerators as per given numbers 48/811, 832/514 is

GCF of Numerators i.e. for 48,832 is 16

LCM of denominators i.e. for 811,514 is 416854.

Thus, GCF of Fractions is 16/416854.Finally, GCF of Fractions for 48/811, 832/514 is 16/416854.