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GCF of 16/298, 6854/5889

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 16/298, 6854/5889 i.e 2/1754922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/298, 6854/5889.

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 16/298,6854/5889?

Given fractions are 16/298,6854/5889

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 16/298,6854/5889, numerators are 16,6854

Denominators are 298,5889

The GCF of 16,6854 is 2 .

LCM of 298,5889 is 1754922.

The greatest common factor of 16/298,6854/5889 = [GCF of 16,6854]/[LCM of 298,5889]= 2/1754922

Therefore, the GCF of 16/298,6854/5889 is 2/1754922.

Greatest Common Factor of 16,6854

To find the highest common factor of 16,6854, 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 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854

The HCF of 16,6854 is 2.

Lets's calculate GCF of 16,6854

Greatest Common Factor (GCF) of 16,6854 By Common Division

2 16, 6854
8, 3427

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

Greatest Common Factor of 16,6854 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,6854 By Matching Biggest Common Factor Method

Now, list down the factors of 16

:

1,2,4,8,16

Now, list down the factors of 6854

:

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors 16,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 16,6854 is 2.

Lets's calculate LCM of 298,5889

Lowest Common Multiple of 298,5889 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1754922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1754922

Therefore, the GCF of Fractions 16/298,6854/5889 is 2/1754922

Least Common Multiple of 298,5889 with GCF Formula

Least Common Multiple of 298,5889 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 298,5889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,5889) = 1

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

GCF(298,5889) x common factors =1 x 1 = 1

LCM(298,5889) = ( 298 × 5889 ) / 1

LCM(298,5889) = 1754922 / 1

LCM(298,5889) = 1754922


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FAQs on GCF of Fractions of 16/298, 6854/5889

1. What is the HCF of 16,6854?

The HCF of 16,6854 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 16/298, 6854/5889?

Answer: GCF of Numerators as per given numbers 16/298, 6854/5889 is

GCF of Numerators i.e. for 16,6854 is 2

LCM of denominators i.e. for 298,5889 is 1754922.

Thus, GCF of Fractions is 2/1754922.Finally, GCF of Fractions for 16/298, 6854/5889 is 2/1754922.