How to Find GCF of 1744/666, 6126/9409?

GCF of 1744/666, 6126/9409

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1744/666, 6126/9409 i.e 2/6266394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1744/666, 6126/9409.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1744/666,6126/9409?

Given fractions are 1744/666,6126/9409

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1744/666,6126/9409, numerators are 1744,6126

Denominators are 666,9409

The GCF of 1744,6126 is 2 .

LCM of 666,9409 is 6266394.

The greatest common factor of 1744/666,6126/9409 = [GCF of 1744,6126]/[LCM of 666,9409]= 2/6266394

Therefore, the GCF of 1744/666,6126/9409 is 2/6266394.

Greatest Common Factor of 1744,6126

To find the highest common factor of 1744,6126, we have to find the factors of both numbers and list the highest common factor.

The factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744

The factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126

The HCF of 1744,6126 is 2.

Lets's calculate GCF of 1744,6126

Greatest Common Factor (GCF) of 1744,6126 By Common Division

2	1744, 6126
	872, 3063

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1744,6126 By Matching Biggest Common Factor Method

Now, list down the factors of 1744

1,2,4,8,16,109,218,436,872,1744

Now, list down the factors of 6126

1,2,3,6,1021,2042,3063,6126

Greatest Common Factor

We found the factors 1744,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 1744,6126 is 2.

Lets's calculate LCM of 666,9409

Lowest Common Multiple of 666,9409 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6266394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6266394

Therefore, the GCF of Fractions 1744/666,6126/9409 is 2/6266394

Least Common Multiple of 666,9409 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 666,9409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,9409) = 1

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

GCF(666,9409) x common factors =1 x 1 = 1

LCM(666,9409) = ( 666 × 9409 ) / 1

LCM(666,9409) = 6266394 / 1

LCM(666,9409) = 6266394

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1744/666, 6126/9409

1. What is the HCF of 1744,6126?

The HCF of 1744,6126 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1744/666, 6126/9409?

Answer: GCF of Numerators as per given numbers 1744/666, 6126/9409 is

GCF of Numerators i.e. for 1744,6126 is 2

LCM of denominators i.e. for 666,9409 is 6266394.

Thus, GCF of Fractions is 2/6266394.Finally, GCF of Fractions for 1744/666, 6126/9409 is 2/6266394.