Greatest Common Factor of 1463/512, 8680/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1463/512, 8680/904

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 1463/512,8680/904

Given fractions are 1463/512,8680/904

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 1463,8680

Greatest Common Factor of Numerators i.e. GCF of 1463,8680 is 7 .

LCM of Denominators means LCM of 512,904 as per the given fractions.

LCM of 512,904 is 57856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1463,8680

GCF of Fractions 1463/512,8680/904 is 7/57856

7 1463, 8680
209, 1240

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1463,8680 By Matching Biggest Common Factor Method

Greatest Common Factor of 1463,8680 By Matching Biggest Common Factor Method

Factors of 1463

List of positive integer factors of 1463 that divides 1463 without a remainder.

1,7,11,19,77,133,209,1463

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1,2,4,5,7,8,10,14,20,28,31,35,40,56,62,70,124,140,155,217,248,280,310,434,620,868,1085,1240,1736,2170,4340,8680

Greatest Common Factor

We found the factors 1463,8680 . The biggest common factor number is the GCF number.
So the greatest common factor 1463,8680 is 7.

Lets's calculate LCM of 512,904

2 512, 904
2 256, 452
2 128, 226
64, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 113 = 57856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/57856

Therefore, the GCF of Fractions 1463/512,8680/904 is 7/57856

Least Common Multiple of 512,904 with GCF Formula

Least Common Multiple of 512,904 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 512,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,904) = 8

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

GCF(512,904) x common factors =8 x 1 = 8

LCM(512,904) = ( 512 × 904 ) / 8

LCM(512,904) = 462848 / 8

LCM(512,904) = 57856


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 1463/512, 8680/904

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 1463/512, 8680/904?

Answer: GCF of Numerators as per given numbers 1463/512, 8680/904 is

GCF of Numerators i.e. for 1463,8680 is 7

LCM of denominators i.e. for 512,904 is 57856.

Thus, GCF of Fractions is 7/57856.Finally, GCF of Fractions for 1463/512, 8680/904 is 7/57856.