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GCF of 16/681, 1338/9764

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 16/681, 1338/9764 i.e 2/6649284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/681, 1338/9764.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 16/681,1338/9764?

Given fractions are 16/681,1338/9764

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 16/681,1338/9764, numerators are 16,1338

Denominators are 681,9764

The GCF of 16,1338 is 2 .

LCM of 681,9764 is 6649284.

The greatest common factor of 16/681,1338/9764 = [GCF of 16,1338]/[LCM of 681,9764]= 2/6649284

Therefore, the GCF of 16/681,1338/9764 is 2/6649284.

Greatest Common Factor of 16,1338

To find the highest common factor of 16,1338, we have to find the factors of both numbers and list the highest common factor.

The factors of 16 are 1, 2, 4, 8, 16

The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338

The HCF of 16,1338 is 2.

Lets's calculate GCF of 16,1338

Greatest Common Factor (GCF) of 16,1338 By Common Division

2 16, 1338
8, 669

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

Greatest Common Factor of 16,1338 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1338 By Matching Biggest Common Factor Method

Now, list down the factors of 16

:

1,2,4,8,16

Now, list down the factors of 1338

:

1,2,3,6,223,446,669,1338

Greatest Common Factor

We found the factors 16,1338 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1338 is 2.

Lets's calculate LCM of 681,9764

Lowest Common Multiple of 681,9764 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6649284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6649284

Therefore, the GCF of Fractions 16/681,1338/9764 is 2/6649284

Least Common Multiple of 681,9764 with GCF Formula

Least Common Multiple of 681,9764 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 681,9764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,9764) = 1

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

GCF(681,9764) x common factors =1 x 1 = 1

LCM(681,9764) = ( 681 × 9764 ) / 1

LCM(681,9764) = 6649284 / 1

LCM(681,9764) = 6649284


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 16/681, 1338/9764

1. What is the HCF of 16,1338?

The HCF of 16,1338 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 16/681, 1338/9764?

Answer: GCF of Numerators as per given numbers 16/681, 1338/9764 is

GCF of Numerators i.e. for 16,1338 is 2

LCM of denominators i.e. for 681,9764 is 6649284.

Thus, GCF of Fractions is 2/6649284.Finally, GCF of Fractions for 16/681, 1338/9764 is 2/6649284.