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GCF of 171/275, 897/497

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 171/275, 897/497 i.e 3/136675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 171/275, 897/497.

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 171/275,897/497?

Given fractions are 171/275,897/497

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 171/275,897/497, numerators are 171,897

Denominators are 275,497

The GCF of 171,897 is 3 .

LCM of 275,497 is 136675.

The greatest common factor of 171/275,897/497 = [GCF of 171,897]/[LCM of 275,497]= 3/136675

Therefore, the GCF of 171/275,897/497 is 3/136675.

Greatest Common Factor of 171,897

To find the highest common factor of 171,897, 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 897 are 1, 3, 13, 23, 39, 69, 299, 897

The HCF of 171,897 is 3.

Lets's calculate GCF of 171,897

Greatest Common Factor (GCF) of 171,897 By Common Division

3 171, 897
57, 299

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 171,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,897 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 897

:

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 171,897 . The biggest common factor number is the GCF number.
So the greatest common factor 171,897 is 3.

Lets's calculate LCM of 275,497

Lowest Common Multiple of 275,497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136675

Therefore, the GCF of Fractions 171/275,897/497 is 3/136675

Least Common Multiple of 275,497 with GCF Formula

Least Common Multiple of 275,497 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 275,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,497) = 1

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

GCF(275,497) x common factors =1 x 1 = 1

LCM(275,497) = ( 275 × 497 ) / 1

LCM(275,497) = 136675 / 1

LCM(275,497) = 136675


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FAQs on GCF of Fractions of 171/275, 897/497

1. What is the HCF of 171,897?

The HCF of 171,897 is 3

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 171/275, 897/497?

Answer: GCF of Numerators as per given numbers 171/275, 897/497 is

GCF of Numerators i.e. for 171,897 is 3

LCM of denominators i.e. for 275,497 is 136675.

Thus, GCF of Fractions is 3/136675.Finally, GCF of Fractions for 171/275, 897/497 is 3/136675.