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GCF of 187/884, 369/704

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 187/884, 369/704 i.e 1/155584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/884, 369/704.

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 187/884,369/704?

Given fractions are 187/884,369/704

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 187/884,369/704, numerators are 187,369

Denominators are 884,704

The GCF of 187,369 is 1 .

LCM of 884,704 is 155584.

The greatest common factor of 187/884,369/704 = [GCF of 187,369]/[LCM of 884,704]= 1/155584

Therefore, the GCF of 187/884,369/704 is 1/155584.

Greatest Common Factor of 187,369

To find the highest common factor of 187,369, 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 369 are 1, 3, 9, 41, 123, 369

The HCF of 187,369 is 1.

Lets's calculate GCF of 187,369

Greatest Common Factor (GCF) of 187,369 By Common Division

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

Greatest Common Factor of 187,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,369 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 369

:

1,3,9,41,123,369

Greatest Common Factor

We found the factors 187,369 . The biggest common factor number is the GCF number.
So the greatest common factor 187,369 is 1.

Lets's calculate LCM of 884,704

Lowest Common Multiple of 884,704 using Common Division

2 884, 704
2 442, 352
221, 176

∴ So the LCM of the given numbers is 2 x 2 x 221 x 176 = 155584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155584

Therefore, the GCF of Fractions 187/884,369/704 is 1/155584

Least Common Multiple of 884,704 with GCF Formula

Least Common Multiple of 884,704 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 884,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,704) = 4

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

GCF(884,704) x common factors =4 x 1 = 4

LCM(884,704) = ( 884 × 704 ) / 4

LCM(884,704) = 622336 / 4

LCM(884,704) = 155584


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FAQs on GCF of Fractions of 187/884, 369/704

1. What is the HCF of 187,369?

The HCF of 187,369 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 187/884, 369/704?

Answer: GCF of Numerators as per given numbers 187/884, 369/704 is

GCF of Numerators i.e. for 187,369 is 1

LCM of denominators i.e. for 884,704 is 155584.

Thus, GCF of Fractions is 1/155584.Finally, GCF of Fractions for 187/884, 369/704 is 1/155584.