How to Find GCF of 35/364, 27/303, 479/377?

GCF of 35/364, 27/303, 479/377

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 35/364, 27/303, 479/377 i.e 1/3198468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/364, 27/303, 479/377.

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 35/364,27/303,479/377?

Given fractions are 35/364,27/303,479/377

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 35/364,27/303,479/377, numerators are 35,27,479

Denominators are 364,303,377

The GCF of 35,27,479 is 1 .

LCM of 364,303,377 is 3198468.

The greatest common factor of 35/364,27/303,479/377 = [GCF of 35,27,479]/[LCM of 364,303,377]= 1/3198468

Therefore, the GCF of 35/364,27/303,479/377 is 1/3198468.

Greatest Common Factor of 35,27,479

To find the highest common factor of 35,27,479, we have to find the factors of both numbers and list the highest common factor.

The factors of 35 are 1, 5, 7, 35

The factors of 27 are 1, 3, 9, 27

The factors of 479 are 1, 479

The HCF of 35,27,479 is 1.

Lets's calculate GCF of 35,27,479

Greatest Common Factor (GCF) of 35,27,479 By Common Division

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

Greatest Common Factor of 35,27,479 By Matching Biggest Common Factor Method

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 27

1,3,9,27

Now, list down the factors of 479

1,479

Greatest Common Factor

We found the factors 35,27,479 . The biggest common factor number is the GCF number.
So the greatest common factor 35,27,479 is 1.

Lets's calculate LCM of 364,303,377

Lowest Common Multiple of 364,303,377 using Common Division

13	364, 303, 377
	28, 303, 29

∴ So the LCM of the given numbers is 13 x 28 x 303 x 29 = 3198468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3198468

Therefore, the GCF of Fractions 35/364,27/303,479/377 is 1/3198468

Least Common Multiple of 364,303,377 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 364,303,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,303,377) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(364,303,377) x common factors =1 x 13 = 13

LCM(364,303,377) = ( 364 × 303 × 377 ) / 13

LCM(364,303,377) = 41580084 / 13

LCM(364,303,377) = 3198468

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FAQs on GCF of Fractions of 35/364, 27/303, 479/377

1. What is the HCF of 35,27,479?

The HCF of 35,27,479 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 35/364, 27/303, 479/377?

Answer: GCF of Numerators as per given numbers 35/364, 27/303, 479/377 is

GCF of Numerators i.e. for 35,27,479 is 1

LCM of denominators i.e. for 364,303,377 is 3198468.

Thus, GCF of Fractions is 1/3198468.Finally, GCF of Fractions for 35/364, 27/303, 479/377 is 1/3198468.