Greatest Common Factor of 430/648, 726/856, 419/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/648, 726/856, 419/486

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 430/648,726/856,419/486

Given fractions are 430/648,726/856,419/486

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 430,726,419

Greatest Common Factor of Numerators i.e. GCF of 430,726,419 is 1 .

LCM of Denominators means LCM of 648,856,486 as per the given fractions.

LCM of 648,856,486 is 208008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,726,419

GCF of Fractions 430/648,726/856,419/486 is 1/208008

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

Greatest Common Factor of 430,726,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,726,419 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 430,726,419 . The biggest common factor number is the GCF number.
So the greatest common factor 430,726,419 is 1.

Lets's calculate LCM of 648,856,486

2 648, 856, 486
2 324, 428, 243
2 162, 214, 243
3 81, 107, 243
3 27, 107, 81
3 9, 107, 27
3 3, 107, 9
1, 107, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 3 x 1 x 107 x 3 = 208008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208008

Therefore, the GCF of Fractions 430/648,726/856,419/486 is 1/208008

Least Common Multiple of 648,856,486 with GCF Formula

Least Common Multiple of 648,856,486 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 648,856,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,856,486) = 2

common factors(in case of two or more numbers have common factors) = 648

GCF(648,856,486) x common factors =2 x 648 = 1296

LCM(648,856,486) = ( 648 × 856 × 486 ) / 1296

LCM(648,856,486) = 269578368 / 1296

LCM(648,856,486) = 208008


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 430/648, 726/856, 419/486

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 430/648, 726/856, 419/486?

Answer: GCF of Numerators as per given numbers 430/648, 726/856, 419/486 is

GCF of Numerators i.e. for 430,726,419 is 1

LCM of denominators i.e. for 648,856,486 is 208008.

Thus, GCF of Fractions is 1/208008.Finally, GCF of Fractions for 430/648, 726/856, 419/486 is 1/208008.