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GCF of 171/129, 353/684

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 171/129, 353/684 i.e 1/29412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 171/129, 353/684.

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 171/129,353/684?

Given fractions are 171/129,353/684

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 171/129,353/684, numerators are 171,353

Denominators are 129,684

The GCF of 171,353 is 1 .

LCM of 129,684 is 29412.

The greatest common factor of 171/129,353/684 = [GCF of 171,353]/[LCM of 129,684]= 1/29412

Therefore, the GCF of 171/129,353/684 is 1/29412.

Greatest Common Factor of 171,353

To find the highest common factor of 171,353, we have to find the factors of both numbers and list the highest common factor.

The factors of 171 are 1, 3, 9, 19, 57, 171

The factors of 353 are 1, 353

The HCF of 171,353 is 1.

Lets's calculate GCF of 171,353

Greatest Common Factor (GCF) of 171,353 By Common Division

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

Greatest Common Factor of 171,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,353 By Matching Biggest Common Factor Method

Now, list down the factors of 171

:

1,3,9,19,57,171

Now, list down the factors of 353

:

1,353

Greatest Common Factor

We found the factors 171,353 . The biggest common factor number is the GCF number.
So the greatest common factor 171,353 is 1.

Lets's calculate LCM of 129,684

Lowest Common Multiple of 129,684 using Common Division

3 129, 684
43, 228

∴ So the LCM of the given numbers is 3 x 43 x 228 = 29412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29412

Therefore, the GCF of Fractions 171/129,353/684 is 1/29412

Least Common Multiple of 129,684 with GCF Formula

Least Common Multiple of 129,684 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 129,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,684) = 3

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

GCF(129,684) x common factors =3 x 1 = 3

LCM(129,684) = ( 129 × 684 ) / 3

LCM(129,684) = 88236 / 3

LCM(129,684) = 29412


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FAQs on GCF of Fractions of 171/129, 353/684

1. What is the HCF of 171,353?

The HCF of 171,353 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 171/129, 353/684?

Answer: GCF of Numerators as per given numbers 171/129, 353/684 is

GCF of Numerators i.e. for 171,353 is 1

LCM of denominators i.e. for 129,684 is 29412.

Thus, GCF of Fractions is 1/29412.Finally, GCF of Fractions for 171/129, 353/684 is 1/29412.