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GCF of 187/736, 422/432

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 187/736, 422/432 i.e 1/19872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/736, 422/432.

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 187/736,422/432?

Given fractions are 187/736,422/432

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 187/736,422/432, numerators are 187,422

Denominators are 736,432

The GCF of 187,422 is 1 .

LCM of 736,432 is 19872.

The greatest common factor of 187/736,422/432 = [GCF of 187,422]/[LCM of 736,432]= 1/19872

Therefore, the GCF of 187/736,422/432 is 1/19872.

Greatest Common Factor of 187,422

To find the highest common factor of 187,422, 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 422 are 1, 2, 211, 422

The HCF of 187,422 is 1.

Lets's calculate GCF of 187,422

Greatest Common Factor (GCF) of 187,422 By Common Division

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

Greatest Common Factor of 187,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,422 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 422

:

1,2,211,422

Greatest Common Factor

We found the factors 187,422 . The biggest common factor number is the GCF number.
So the greatest common factor 187,422 is 1.

Lets's calculate LCM of 736,432

Lowest Common Multiple of 736,432 using Common Division

2 736, 432
2 368, 216
2 184, 108
2 92, 54
46, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 46 x 27 = 19872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19872

Therefore, the GCF of Fractions 187/736,422/432 is 1/19872

Least Common Multiple of 736,432 with GCF Formula

Least Common Multiple of 736,432 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 736,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,432) = 16

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

GCF(736,432) x common factors =16 x 1 = 16

LCM(736,432) = ( 736 × 432 ) / 16

LCM(736,432) = 317952 / 16

LCM(736,432) = 19872


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FAQs on GCF of Fractions of 187/736, 422/432

1. What is the HCF of 187,422?

The HCF of 187,422 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 187/736, 422/432?

Answer: GCF of Numerators as per given numbers 187/736, 422/432 is

GCF of Numerators i.e. for 187,422 is 1

LCM of denominators i.e. for 736,432 is 19872.

Thus, GCF of Fractions is 1/19872.Finally, GCF of Fractions for 187/736, 422/432 is 1/19872.