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GCF of 179/54, 618/386

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 179/54, 618/386 i.e 1/10422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 179/54, 618/386.

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 179/54,618/386?

Given fractions are 179/54,618/386

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 179/54,618/386, numerators are 179,618

Denominators are 54,386

The GCF of 179,618 is 1 .

LCM of 54,386 is 10422.

The greatest common factor of 179/54,618/386 = [GCF of 179,618]/[LCM of 54,386]= 1/10422

Therefore, the GCF of 179/54,618/386 is 1/10422.

Greatest Common Factor of 179,618

To find the highest common factor of 179,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 179 are 1, 179

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The HCF of 179,618 is 1.

Lets's calculate GCF of 179,618

Greatest Common Factor (GCF) of 179,618 By Common Division

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

Greatest Common Factor of 179,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 179,618 By Matching Biggest Common Factor Method

Now, list down the factors of 179

:

1,179

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 179,618 . The biggest common factor number is the GCF number.
So the greatest common factor 179,618 is 1.

Lets's calculate LCM of 54,386

Lowest Common Multiple of 54,386 using Common Division

2 54, 386
27, 193

∴ So the LCM of the given numbers is 2 x 27 x 193 = 10422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10422

Therefore, the GCF of Fractions 179/54,618/386 is 1/10422

Least Common Multiple of 54,386 with GCF Formula

Least Common Multiple of 54,386 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 54,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,386) = 2

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

GCF(54,386) x common factors =2 x 1 = 2

LCM(54,386) = ( 54 × 386 ) / 2

LCM(54,386) = 20844 / 2

LCM(54,386) = 10422


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FAQs on GCF of Fractions of 179/54, 618/386

1. What is the HCF of 179,618?

The HCF of 179,618 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 179/54, 618/386?

Answer: GCF of Numerators as per given numbers 179/54, 618/386 is

GCF of Numerators i.e. for 179,618 is 1

LCM of denominators i.e. for 54,386 is 10422.

Thus, GCF of Fractions is 1/10422.Finally, GCF of Fractions for 179/54, 618/386 is 1/10422.