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GCF of 187/156, 843/808

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 187/156, 843/808 i.e 1/31512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 187/156, 843/808.

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 187/156,843/808?

Given fractions are 187/156,843/808

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 187/156,843/808, numerators are 187,843

Denominators are 156,808

The GCF of 187,843 is 1 .

LCM of 156,808 is 31512.

The greatest common factor of 187/156,843/808 = [GCF of 187,843]/[LCM of 156,808]= 1/31512

Therefore, the GCF of 187/156,843/808 is 1/31512.

Greatest Common Factor of 187,843

To find the highest common factor of 187,843, 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 843 are 1, 3, 281, 843

The HCF of 187,843 is 1.

Lets's calculate GCF of 187,843

Greatest Common Factor (GCF) of 187,843 By Common Division

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

Greatest Common Factor of 187,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,843 By Matching Biggest Common Factor Method

Now, list down the factors of 187

:

1,11,17,187

Now, list down the factors of 843

:

1,3,281,843

Greatest Common Factor

We found the factors 187,843 . The biggest common factor number is the GCF number.
So the greatest common factor 187,843 is 1.

Lets's calculate LCM of 156,808

Lowest Common Multiple of 156,808 using Common Division

2 156, 808
2 78, 404
39, 202

∴ So the LCM of the given numbers is 2 x 2 x 39 x 202 = 31512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31512

Therefore, the GCF of Fractions 187/156,843/808 is 1/31512

Least Common Multiple of 156,808 with GCF Formula

Least Common Multiple of 156,808 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 156,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,808) = 4

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

GCF(156,808) x common factors =4 x 1 = 4

LCM(156,808) = ( 156 × 808 ) / 4

LCM(156,808) = 126048 / 4

LCM(156,808) = 31512


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FAQs on GCF of Fractions of 187/156, 843/808

1. What is the HCF of 187,843?

The HCF of 187,843 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 187/156, 843/808?

Answer: GCF of Numerators as per given numbers 187/156, 843/808 is

GCF of Numerators i.e. for 187,843 is 1

LCM of denominators i.e. for 156,808 is 31512.

Thus, GCF of Fractions is 1/31512.Finally, GCF of Fractions for 187/156, 843/808 is 1/31512.