How to Find GCF of 858/176, 377/919?

GCF of 858/176, 377/919

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 858/176, 377/919 i.e 13/161744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 858/176, 377/919.

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 858/176,377/919?

Given fractions are 858/176,377/919

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 858/176,377/919, numerators are 858,377

Denominators are 176,919

The GCF of 858,377 is 13 .

LCM of 176,919 is 161744.

The greatest common factor of 858/176,377/919 = [GCF of 858,377]/[LCM of 176,919]= 13/161744

Therefore, the GCF of 858/176,377/919 is 13/161744.

Greatest Common Factor of 858,377

To find the highest common factor of 858,377, we have to find the factors of both numbers and list the highest common factor.

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

The factors of 377 are 1, 13, 29, 377

The HCF of 858,377 is 13.

Lets's calculate GCF of 858,377

Greatest Common Factor (GCF) of 858,377 By Common Division

13	858, 377
	66, 29

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 858,377 By Matching Biggest Common Factor Method

Now, list down the factors of 858

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Now, list down the factors of 377

1,13,29,377

Greatest Common Factor

We found the factors 858,377 . The biggest common factor number is the GCF number.
So the greatest common factor 858,377 is 13.

Lets's calculate LCM of 176,919

Lowest Common Multiple of 176,919 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 161744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/161744

Therefore, the GCF of Fractions 858/176,377/919 is 13/161744

Least Common Multiple of 176,919 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 176,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,919) = 1

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

GCF(176,919) x common factors =1 x 1 = 1

LCM(176,919) = ( 176 × 919 ) / 1

LCM(176,919) = 161744 / 1

LCM(176,919) = 161744

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FAQs on GCF of Fractions of 858/176, 377/919

1. What is the HCF of 858,377?

The HCF of 858,377 is 13

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 858/176, 377/919?

Answer: GCF of Numerators as per given numbers 858/176, 377/919 is

GCF of Numerators i.e. for 858,377 is 13

LCM of denominators i.e. for 176,919 is 161744.

Thus, GCF of Fractions is 13/161744.Finally, GCF of Fractions for 858/176, 377/919 is 13/161744.