How to Find GCF of 6673/720, 3540/940?

GCF of 6673/720, 3540/940

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 6673/720, 3540/940 i.e 1/33840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6673/720, 3540/940.

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 6673/720,3540/940?

Given fractions are 6673/720,3540/940

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 6673/720,3540/940, numerators are 6673,3540

Denominators are 720,940

The GCF of 6673,3540 is 1 .

LCM of 720,940 is 33840.

The greatest common factor of 6673/720,3540/940 = [GCF of 6673,3540]/[LCM of 720,940]= 1/33840

Therefore, the GCF of 6673/720,3540/940 is 1/33840.

Greatest Common Factor of 6673,3540

To find the highest common factor of 6673,3540, we have to find the factors of both numbers and list the highest common factor.

The factors of 6673 are 1, 6673

The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540

The HCF of 6673,3540 is 1.

Lets's calculate GCF of 6673,3540

Greatest Common Factor (GCF) of 6673,3540 By Common Division

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

Greatest Common Factor of 6673,3540 By Matching Biggest Common Factor Method

Now, list down the factors of 6673

1,6673

Now, list down the factors of 3540

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Greatest Common Factor

We found the factors 6673,3540 . The biggest common factor number is the GCF number.
So the greatest common factor 6673,3540 is 1.

Lets's calculate LCM of 720,940

Lowest Common Multiple of 720,940 using Common Division

2	720, 940
2	360, 470
5	180, 235
	36, 47

∴ So the LCM of the given numbers is 2 x 2 x 5 x 36 x 47 = 33840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33840

Therefore, the GCF of Fractions 6673/720,3540/940 is 1/33840

Least Common Multiple of 720,940 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 720,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,940) = 20

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

GCF(720,940) x common factors =20 x 1 = 20

LCM(720,940) = ( 720 × 940 ) / 20

LCM(720,940) = 676800 / 20

LCM(720,940) = 33840

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6673/720, 3540/940

1. What is the HCF of 6673,3540?

The HCF of 6673,3540 is 1

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 6673/720, 3540/940?

Answer: GCF of Numerators as per given numbers 6673/720, 3540/940 is

GCF of Numerators i.e. for 6673,3540 is 1

LCM of denominators i.e. for 720,940 is 33840.

Thus, GCF of Fractions is 1/33840.Finally, GCF of Fractions for 6673/720, 3540/940 is 1/33840.