Greatest Common Factor of 8049/428, 9707/1743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8049/428, 9707/1743

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 8049/428,9707/1743

Given fractions are 8049/428,9707/1743

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 8049,9707

Greatest Common Factor of Numerators i.e. GCF of 8049,9707 is 1 .

LCM of Denominators means LCM of 428,1743 as per the given fractions.

LCM of 428,1743 is 746004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8049,9707

GCF of Fractions 8049/428,9707/1743 is 1/746004

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

Greatest Common Factor of 8049,9707 By Matching Biggest Common Factor Method

Greatest Common Factor of 8049,9707 By Matching Biggest Common Factor Method

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Factors of 9707

List of positive integer factors of 9707 that divides 9707 without a remainder.

1,17,571,9707

Greatest Common Factor

We found the factors 8049,9707 . The biggest common factor number is the GCF number.
So the greatest common factor 8049,9707 is 1.

Lets's calculate LCM of 428,1743

Given numbers has no common factors except 1. So, there LCM is their product i.e 746004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/746004

Therefore, the GCF of Fractions 8049/428,9707/1743 is 1/746004

Least Common Multiple of 428,1743 with GCF Formula

Least Common Multiple of 428,1743 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 428,1743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,1743) = 1

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

GCF(428,1743) x common factors =1 x 1 = 1

LCM(428,1743) = ( 428 × 1743 ) / 1

LCM(428,1743) = 746004 / 1

LCM(428,1743) = 746004


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 8049/428, 9707/1743

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 8049/428, 9707/1743?

Answer: GCF of Numerators as per given numbers 8049/428, 9707/1743 is

GCF of Numerators i.e. for 8049,9707 is 1

LCM of denominators i.e. for 428,1743 is 746004.

Thus, GCF of Fractions is 1/746004.Finally, GCF of Fractions for 8049/428, 9707/1743 is 1/746004.