Greatest Common Factor of 6743/248, 1001/1654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6743/248, 1001/1654

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 6743/248,1001/1654

Given fractions are 6743/248,1001/1654

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 6743,1001

Greatest Common Factor of Numerators i.e. GCF of 6743,1001 is 11 .

LCM of Denominators means LCM of 248,1654 as per the given fractions.

LCM of 248,1654 is 205096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6743,1001

GCF of Fractions 6743/248,1001/1654 is 11/205096

11 6743, 1001
613, 91

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6743,1001 By Matching Biggest Common Factor Method

Greatest Common Factor of 6743,1001 By Matching Biggest Common Factor Method

Factors of 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1,11,613,6743

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Greatest Common Factor

We found the factors 6743,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 6743,1001 is 11.

Lets's calculate LCM of 248,1654

2 248, 1654
124, 827

∴ So the LCM of the given numbers is 2 x 124 x 827 = 205096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/205096

Therefore, the GCF of Fractions 6743/248,1001/1654 is 11/205096

Least Common Multiple of 248,1654 with GCF Formula

Least Common Multiple of 248,1654 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 248,1654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,1654) = 2

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

GCF(248,1654) x common factors =2 x 1 = 2

LCM(248,1654) = ( 248 × 1654 ) / 2

LCM(248,1654) = 410192 / 2

LCM(248,1654) = 205096


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 6743/248, 1001/1654

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 6743/248, 1001/1654?

Answer: GCF of Numerators as per given numbers 6743/248, 1001/1654 is

GCF of Numerators i.e. for 6743,1001 is 11

LCM of denominators i.e. for 248,1654 is 205096.

Thus, GCF of Fractions is 11/205096.Finally, GCF of Fractions for 6743/248, 1001/1654 is 11/205096.