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GCF of 355/176, 187/544

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 355/176, 187/544 i.e 1/5984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/176, 187/544.

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 355/176,187/544?

Given fractions are 355/176,187/544

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 355/176,187/544, numerators are 355,187

Denominators are 176,544

The GCF of 355,187 is 1 .

LCM of 176,544 is 5984.

The greatest common factor of 355/176,187/544 = [GCF of 355,187]/[LCM of 176,544]= 1/5984

Therefore, the GCF of 355/176,187/544 is 1/5984.

Greatest Common Factor of 355,187

To find the highest common factor of 355,187, we have to find the factors of both numbers and list the highest common factor.

The factors of 355 are 1, 5, 71, 355

The factors of 187 are 1, 11, 17, 187

The HCF of 355,187 is 1.

Lets's calculate GCF of 355,187

Greatest Common Factor (GCF) of 355,187 By Common Division

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

Greatest Common Factor of 355,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 355,187 By Matching Biggest Common Factor Method

Now, list down the factors of 355

:

1,5,71,355

Now, list down the factors of 187

:

1,11,17,187

Greatest Common Factor

We found the factors 355,187 . The biggest common factor number is the GCF number.
So the greatest common factor 355,187 is 1.

Lets's calculate LCM of 176,544

Lowest Common Multiple of 176,544 using Common Division

2 176, 544
2 88, 272
2 44, 136
2 22, 68
11, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 34 = 5984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5984

Therefore, the GCF of Fractions 355/176,187/544 is 1/5984

Least Common Multiple of 176,544 with GCF Formula

Least Common Multiple of 176,544 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 176,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(176,544) = 16

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

GCF(176,544) x common factors =16 x 1 = 16

LCM(176,544) = ( 176 × 544 ) / 16

LCM(176,544) = 95744 / 16

LCM(176,544) = 5984


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FAQs on GCF of Fractions of 355/176, 187/544

1. What is the HCF of 355,187?

The HCF of 355,187 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 355/176, 187/544?

Answer: GCF of Numerators as per given numbers 355/176, 187/544 is

GCF of Numerators i.e. for 355,187 is 1

LCM of denominators i.e. for 176,544 is 5984.

Thus, GCF of Fractions is 1/5984.Finally, GCF of Fractions for 355/176, 187/544 is 1/5984.