Greatest Common Factor of 4511/784, 7999/5705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4511/784, 7999/5705

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 4511/784,7999/5705

Given fractions are 4511/784,7999/5705

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 4511,7999

Greatest Common Factor of Numerators i.e. GCF of 4511,7999 is 1 .

LCM of Denominators means LCM of 784,5705 as per the given fractions.

LCM of 784,5705 is 638960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4511,7999

GCF of Fractions 4511/784,7999/5705 is 1/638960

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

Greatest Common Factor of 4511,7999 By Matching Biggest Common Factor Method

Greatest Common Factor of 4511,7999 By Matching Biggest Common Factor Method

Factors of 4511

List of positive integer factors of 4511 that divides 4511 without a remainder.

1,13,347,4511

Factors of 7999

List of positive integer factors of 7999 that divides 7999 without a remainder.

1,19,421,7999

Greatest Common Factor

We found the factors 4511,7999 . The biggest common factor number is the GCF number.
So the greatest common factor 4511,7999 is 1.

Lets's calculate LCM of 784,5705

7 784, 5705
112, 815

∴ So the LCM of the given numbers is 7 x 112 x 815 = 638960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638960

Therefore, the GCF of Fractions 4511/784,7999/5705 is 1/638960

Least Common Multiple of 784,5705 with GCF Formula

Least Common Multiple of 784,5705 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 784,5705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,5705) = 7

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

GCF(784,5705) x common factors =7 x 1 = 7

LCM(784,5705) = ( 784 × 5705 ) / 7

LCM(784,5705) = 4472720 / 7

LCM(784,5705) = 638960


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 4511/784, 7999/5705

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 4511/784, 7999/5705?

Answer: GCF of Numerators as per given numbers 4511/784, 7999/5705 is

GCF of Numerators i.e. for 4511,7999 is 1

LCM of denominators i.e. for 784,5705 is 638960.

Thus, GCF of Fractions is 1/638960.Finally, GCF of Fractions for 4511/784, 7999/5705 is 1/638960.