Greatest Common Factor of 469/51, 797/76, 524/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/51, 797/76, 524/226

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 469/51,797/76,524/226

Given fractions are 469/51,797/76,524/226

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 469,797,524

Greatest Common Factor of Numerators i.e. GCF of 469,797,524 is 1 .

LCM of Denominators means LCM of 51,76,226 as per the given fractions.

LCM of 51,76,226 is 437988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,797,524

GCF of Fractions 469/51,797/76,524/226 is 1/437988

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

Greatest Common Factor of 469,797,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,797,524 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 469,797,524 . The biggest common factor number is the GCF number.
So the greatest common factor 469,797,524 is 1.

Lets's calculate LCM of 51,76,226

2 51, 76, 226
51, 38, 113

∴ So the LCM of the given numbers is 2 x 51 x 38 x 113 = 437988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437988

Therefore, the GCF of Fractions 469/51,797/76,524/226 is 1/437988

Least Common Multiple of 51,76,226 with GCF Formula

Least Common Multiple of 51,76,226 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 51,76,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,76,226) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,76,226) x common factors =1 x 2 = 2

LCM(51,76,226) = ( 51 × 76 × 226 ) / 2

LCM(51,76,226) = 875976 / 2

LCM(51,76,226) = 437988


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 469/51, 797/76, 524/226

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 469/51, 797/76, 524/226?

Answer: GCF of Numerators as per given numbers 469/51, 797/76, 524/226 is

GCF of Numerators i.e. for 469,797,524 is 1

LCM of denominators i.e. for 51,76,226 is 437988.

Thus, GCF of Fractions is 1/437988.Finally, GCF of Fractions for 469/51, 797/76, 524/226 is 1/437988.