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GCF of 16/947, 8886/3249

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 16/947, 8886/3249 i.e 2/3076803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/947, 8886/3249.

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 16/947,8886/3249?

Given fractions are 16/947,8886/3249

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 16/947,8886/3249, numerators are 16,8886

Denominators are 947,3249

The GCF of 16,8886 is 2 .

LCM of 947,3249 is 3076803.

The greatest common factor of 16/947,8886/3249 = [GCF of 16,8886]/[LCM of 947,3249]= 2/3076803

Therefore, the GCF of 16/947,8886/3249 is 2/3076803.

Greatest Common Factor of 16,8886

To find the highest common factor of 16,8886, 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 8886 are 1, 2, 3, 6, 1481, 2962, 4443, 8886

The HCF of 16,8886 is 2.

Lets's calculate GCF of 16,8886

Greatest Common Factor (GCF) of 16,8886 By Common Division

2 16, 8886
8, 4443

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

Greatest Common Factor of 16,8886 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,8886 By Matching Biggest Common Factor Method

Now, list down the factors of 16

:

1,2,4,8,16

Now, list down the factors of 8886

:

1,2,3,6,1481,2962,4443,8886

Greatest Common Factor

We found the factors 16,8886 . The biggest common factor number is the GCF number.
So the greatest common factor 16,8886 is 2.

Lets's calculate LCM of 947,3249

Lowest Common Multiple of 947,3249 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3076803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3076803

Therefore, the GCF of Fractions 16/947,8886/3249 is 2/3076803

Least Common Multiple of 947,3249 with GCF Formula

Least Common Multiple of 947,3249 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 947,3249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,3249) = 1

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

GCF(947,3249) x common factors =1 x 1 = 1

LCM(947,3249) = ( 947 × 3249 ) / 1

LCM(947,3249) = 3076803 / 1

LCM(947,3249) = 3076803


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 16/947, 8886/3249

1. What is the HCF of 16,8886?

The HCF of 16,8886 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 16/947, 8886/3249?

Answer: GCF of Numerators as per given numbers 16/947, 8886/3249 is

GCF of Numerators i.e. for 16,8886 is 2

LCM of denominators i.e. for 947,3249 is 3076803.

Thus, GCF of Fractions is 2/3076803.Finally, GCF of Fractions for 16/947, 8886/3249 is 2/3076803.