How to Find GCF of 1667/728, 7369/3328?

GCF of 1667/728, 7369/3328

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 1667/728, 7369/3328 i.e 1/23296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1667/728, 7369/3328.

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 1667/728,7369/3328?

Given fractions are 1667/728,7369/3328

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 1667/728,7369/3328, numerators are 1667,7369

Denominators are 728,3328

The GCF of 1667,7369 is 1 .

LCM of 728,3328 is 23296.

The greatest common factor of 1667/728,7369/3328 = [GCF of 1667,7369]/[LCM of 728,3328]= 1/23296

Therefore, the GCF of 1667/728,7369/3328 is 1/23296.

Greatest Common Factor of 1667,7369

To find the highest common factor of 1667,7369, we have to find the factors of both numbers and list the highest common factor.

The factors of 1667 are 1, 1667

The factors of 7369 are 1, 7369

The HCF of 1667,7369 is 1.

Lets's calculate GCF of 1667,7369

Greatest Common Factor (GCF) of 1667,7369 By Common Division

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

Greatest Common Factor of 1667,7369 By Matching Biggest Common Factor Method

Now, list down the factors of 1667

1,1667

Now, list down the factors of 7369

1,7369

Greatest Common Factor

We found the factors 1667,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 1667,7369 is 1.

Lets's calculate LCM of 728,3328

Lowest Common Multiple of 728,3328 using Common Division

2	728, 3328
2	364, 1664
2	182, 832
13	91, 416
	7, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 32 = 23296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23296

Therefore, the GCF of Fractions 1667/728,7369/3328 is 1/23296

Least Common Multiple of 728,3328 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 728,3328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,3328) = 104

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

GCF(728,3328) x common factors =104 x 1 = 104

LCM(728,3328) = ( 728 × 3328 ) / 104

LCM(728,3328) = 2422784 / 104

LCM(728,3328) = 23296

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FAQs on GCF of Fractions of 1667/728, 7369/3328

1. What is the HCF of 1667,7369?

The HCF of 1667,7369 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 1667/728, 7369/3328?

Answer: GCF of Numerators as per given numbers 1667/728, 7369/3328 is

GCF of Numerators i.e. for 1667,7369 is 1

LCM of denominators i.e. for 728,3328 is 23296.

Thus, GCF of Fractions is 1/23296.Finally, GCF of Fractions for 1667/728, 7369/3328 is 1/23296.