Greatest Common Factor of 469/107, 105/229, 727/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/107, 105/229, 727/540

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 469/107,105/229,727/540

Given fractions are 469/107,105/229,727/540

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 469,105,727

Greatest Common Factor of Numerators i.e. GCF of 469,105,727 is 1 .

LCM of Denominators means LCM of 107,229,540 as per the given fractions.

LCM of 107,229,540 is 13231620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,105,727

GCF of Fractions 469/107,105/229,727/540 is 1/13231620

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

Greatest Common Factor of 469,105,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,105,727 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 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 469,105,727 . The biggest common factor number is the GCF number.
So the greatest common factor 469,105,727 is 1.

Lets's calculate LCM of 107,229,540

Given numbers has no common factors except 1. So, there LCM is their product i.e 13231620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13231620

Therefore, the GCF of Fractions 469/107,105/229,727/540 is 1/13231620

Least Common Multiple of 107,229,540 with GCF Formula

Least Common Multiple of 107,229,540 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 107,229,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,229,540) = 1

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

GCF(107,229,540) x common factors =1 x 1 = 1

LCM(107,229,540) = ( 107 × 229 × 540 ) / 1

LCM(107,229,540) = 13231620 / 1

LCM(107,229,540) = 13231620


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 469/107, 105/229, 727/540

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 469/107, 105/229, 727/540?

Answer: GCF of Numerators as per given numbers 469/107, 105/229, 727/540 is

GCF of Numerators i.e. for 469,105,727 is 1

LCM of denominators i.e. for 107,229,540 is 13231620.

Thus, GCF of Fractions is 1/13231620.Finally, GCF of Fractions for 469/107, 105/229, 727/540 is 1/13231620.