How to Find GCF of 16/754, 38/377, 313/513?

GCF of 16/754, 38/377, 313/513

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 16/754, 38/377, 313/513 i.e 1/386802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 16/754, 38/377, 313/513.

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 16/754,38/377,313/513?

Given fractions are 16/754,38/377,313/513

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 16/754,38/377,313/513, numerators are 16,38,313

Denominators are 754,377,513

The GCF of 16,38,313 is 1 .

LCM of 754,377,513 is 386802.

The greatest common factor of 16/754,38/377,313/513 = [GCF of 16,38,313]/[LCM of 754,377,513]= 1/386802

Therefore, the GCF of 16/754,38/377,313/513 is 1/386802.

Greatest Common Factor of 16,38,313

To find the highest common factor of 16,38,313, 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 38 are 1, 2, 19, 38

The factors of 313 are 1, 313

The HCF of 16,38,313 is 1.

Lets's calculate GCF of 16,38,313

Greatest Common Factor (GCF) of 16,38,313 By Common Division

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

Greatest Common Factor of 16,38,313 By Matching Biggest Common Factor Method

Now, list down the factors of 16

1,2,4,8,16

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 313

1,313

Greatest Common Factor

We found the factors 16,38,313 . The biggest common factor number is the GCF number.
So the greatest common factor 16,38,313 is 1.

Lets's calculate LCM of 754,377,513

Lowest Common Multiple of 754,377,513 using Common Division

13	754, 377, 513
29	58, 29, 513
	2, 1, 513

∴ So the LCM of the given numbers is 13 x 29 x 2 x 1 x 513 = 386802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386802

Therefore, the GCF of Fractions 16/754,38/377,313/513 is 1/386802

Least Common Multiple of 754,377,513 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 754,377,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,377,513) = 1

common factors(in case of two or more numbers have common factors) = 377

GCF(754,377,513) x common factors =1 x 377 = 377

LCM(754,377,513) = ( 754 × 377 × 513 ) / 377

LCM(754,377,513) = 145824354 / 377

LCM(754,377,513) = 386802

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FAQs on GCF of Fractions of 16/754, 38/377, 313/513

1. What is the HCF of 16,38,313?

The HCF of 16,38,313 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 16/754, 38/377, 313/513?

Answer: GCF of Numerators as per given numbers 16/754, 38/377, 313/513 is

GCF of Numerators i.e. for 16,38,313 is 1

LCM of denominators i.e. for 754,377,513 is 386802.

Thus, GCF of Fractions is 1/386802.Finally, GCF of Fractions for 16/754, 38/377, 313/513 is 1/386802.