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GCF of 187/56, 449/474

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 187/56, 449/474 i.e 1/13272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/56, 449/474.

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 187/56,449/474?

Given fractions are 187/56,449/474

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 187/56,449/474, numerators are 187,449

Denominators are 56,474

The GCF of 187,449 is 1 .

LCM of 56,474 is 13272.

The greatest common factor of 187/56,449/474 = [GCF of 187,449]/[LCM of 56,474]= 1/13272

Therefore, the GCF of 187/56,449/474 is 1/13272.

Greatest Common Factor of 187,449

To find the highest common factor of 187,449, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 449 are 1, 449

The HCF of 187,449 is 1.

Lets's calculate GCF of 187,449

Greatest Common Factor (GCF) of 187,449 By Common Division

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

Greatest Common Factor of 187,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,449 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 449

:

1,449

Greatest Common Factor

We found the factors 187,449 . The biggest common factor number is the GCF number.
So the greatest common factor 187,449 is 1.

Lets's calculate LCM of 56,474

Lowest Common Multiple of 56,474 using Common Division

2 56, 474
28, 237

∴ So the LCM of the given numbers is 2 x 28 x 237 = 13272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13272

Therefore, the GCF of Fractions 187/56,449/474 is 1/13272

Least Common Multiple of 56,474 with GCF Formula

Least Common Multiple of 56,474 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 56,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,474) = 2

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

GCF(56,474) x common factors =2 x 1 = 2

LCM(56,474) = ( 56 × 474 ) / 2

LCM(56,474) = 26544 / 2

LCM(56,474) = 13272


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FAQs on GCF of Fractions of 187/56, 449/474

1. What is the HCF of 187,449?

The HCF of 187,449 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 187/56, 449/474?

Answer: GCF of Numerators as per given numbers 187/56, 449/474 is

GCF of Numerators i.e. for 187,449 is 1

LCM of denominators i.e. for 56,474 is 13272.

Thus, GCF of Fractions is 1/13272.Finally, GCF of Fractions for 187/56, 449/474 is 1/13272.