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GCF of 187/94, 176/164

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 187/94, 176/164 i.e 11/7708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/94, 176/164.

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 187/94,176/164?

Given fractions are 187/94,176/164

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 187/94,176/164, numerators are 187,176

Denominators are 94,164

The GCF of 187,176 is 11 .

LCM of 94,164 is 7708.

The greatest common factor of 187/94,176/164 = [GCF of 187,176]/[LCM of 94,164]= 11/7708

Therefore, the GCF of 187/94,176/164 is 11/7708.

Greatest Common Factor of 187,176

To find the highest common factor of 187,176, 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 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The HCF of 187,176 is 11.

Lets's calculate GCF of 187,176

Greatest Common Factor (GCF) of 187,176 By Common Division

11 187, 176
17, 16

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 187,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,176 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 176

:

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 187,176 . The biggest common factor number is the GCF number.
So the greatest common factor 187,176 is 11.

Lets's calculate LCM of 94,164

Lowest Common Multiple of 94,164 using Common Division

2 94, 164
47, 82

∴ So the LCM of the given numbers is 2 x 47 x 82 = 7708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7708

Therefore, the GCF of Fractions 187/94,176/164 is 11/7708

Least Common Multiple of 94,164 with GCF Formula

Least Common Multiple of 94,164 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 94,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,164) = 2

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

GCF(94,164) x common factors =2 x 1 = 2

LCM(94,164) = ( 94 × 164 ) / 2

LCM(94,164) = 15416 / 2

LCM(94,164) = 7708


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FAQs on GCF of Fractions of 187/94, 176/164

1. What is the HCF of 187,176?

The HCF of 187,176 is 11

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 187/94, 176/164?

Answer: GCF of Numerators as per given numbers 187/94, 176/164 is

GCF of Numerators i.e. for 187,176 is 11

LCM of denominators i.e. for 94,164 is 7708.

Thus, GCF of Fractions is 11/7708.Finally, GCF of Fractions for 187/94, 176/164 is 11/7708.