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GCF of 804/30, 187/6652

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 804/30, 187/6652 i.e 1/99780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 804/30, 187/6652.

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 804/30,187/6652?

Given fractions are 804/30,187/6652

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 804/30,187/6652, numerators are 804,187

Denominators are 30,6652

The GCF of 804,187 is 1 .

LCM of 30,6652 is 99780.

The greatest common factor of 804/30,187/6652 = [GCF of 804,187]/[LCM of 30,6652]= 1/99780

Therefore, the GCF of 804/30,187/6652 is 1/99780.

Greatest Common Factor of 804,187

To find the highest common factor of 804,187, we have to find the factors of both numbers and list the highest common factor.

The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

The HCF of 804,187 is 1.

Lets's calculate GCF of 804,187

Greatest Common Factor (GCF) of 804,187 By Common Division

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

Greatest Common Factor of 804,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,187 By Matching Biggest Common Factor Method

Now, list down the factors of 804

:

1,2,3,4,6,12,67,134,201,268,402,804

Now, list down the factors of 187

:

1,11,17,187

Greatest Common Factor

We found the factors 804,187 . The biggest common factor number is the GCF number.
So the greatest common factor 804,187 is 1.

Lets's calculate LCM of 30,6652

Lowest Common Multiple of 30,6652 using Common Division

2 30, 6652
15, 3326

∴ So the LCM of the given numbers is 2 x 15 x 3326 = 99780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99780

Therefore, the GCF of Fractions 804/30,187/6652 is 1/99780

Least Common Multiple of 30,6652 with GCF Formula

Least Common Multiple of 30,6652 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 30,6652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,6652) = 2

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

GCF(30,6652) x common factors =2 x 1 = 2

LCM(30,6652) = ( 30 × 6652 ) / 2

LCM(30,6652) = 199560 / 2

LCM(30,6652) = 99780


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 804/30, 187/6652

1. What is the HCF of 804,187?

The HCF of 804,187 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 804/30, 187/6652?

Answer: GCF of Numerators as per given numbers 804/30, 187/6652 is

GCF of Numerators i.e. for 804,187 is 1

LCM of denominators i.e. for 30,6652 is 99780.

Thus, GCF of Fractions is 1/99780.Finally, GCF of Fractions for 804/30, 187/6652 is 1/99780.