Greatest Common Factor of 451/534, 7680/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/534, 7680/496

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 451/534,7680/496

Given fractions are 451/534,7680/496

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 451,7680

Greatest Common Factor of Numerators i.e. GCF of 451,7680 is 1 .

LCM of Denominators means LCM of 534,496 as per the given fractions.

LCM of 534,496 is 132432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,7680

GCF of Fractions 451/534,7680/496 is 1/132432

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

Greatest Common Factor of 451,7680 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,7680 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,256,320,384,480,512,640,768,960,1280,1536,1920,2560,3840,7680

Greatest Common Factor

We found the factors 451,7680 . The biggest common factor number is the GCF number.
So the greatest common factor 451,7680 is 1.

Lets's calculate LCM of 534,496

2 534, 496
267, 248

∴ So the LCM of the given numbers is 2 x 267 x 248 = 132432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132432

Therefore, the GCF of Fractions 451/534,7680/496 is 1/132432

Least Common Multiple of 534,496 with GCF Formula

Least Common Multiple of 534,496 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 534,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,496) = 2

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

GCF(534,496) x common factors =2 x 1 = 2

LCM(534,496) = ( 534 × 496 ) / 2

LCM(534,496) = 264864 / 2

LCM(534,496) = 132432


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 451/534, 7680/496

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 451/534, 7680/496?

Answer: GCF of Numerators as per given numbers 451/534, 7680/496 is

GCF of Numerators i.e. for 451,7680 is 1

LCM of denominators i.e. for 534,496 is 132432.

Thus, GCF of Fractions is 1/132432.Finally, GCF of Fractions for 451/534, 7680/496 is 1/132432.