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GCF of 6599/558, 1166/804

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 6599/558, 1166/804 i.e 1/74772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6599/558, 1166/804.

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 6599/558,1166/804?

Given fractions are 6599/558,1166/804

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 6599/558,1166/804, numerators are 6599,1166

Denominators are 558,804

The GCF of 6599,1166 is 1 .

LCM of 558,804 is 74772.

The greatest common factor of 6599/558,1166/804 = [GCF of 6599,1166]/[LCM of 558,804]= 1/74772

Therefore, the GCF of 6599/558,1166/804 is 1/74772.

Greatest Common Factor of 6599,1166

To find the highest common factor of 6599,1166, we have to find the factors of both numbers and list the highest common factor.

The factors of 6599 are 1, 6599

The factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166

The HCF of 6599,1166 is 1.

Lets's calculate GCF of 6599,1166

Greatest Common Factor (GCF) of 6599,1166 By Common Division

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

Greatest Common Factor of 6599,1166 By Matching Biggest Common Factor Method

Greatest Common Factor of 6599,1166 By Matching Biggest Common Factor Method

Now, list down the factors of 6599

:

1,6599

Now, list down the factors of 1166

:

1,2,11,22,53,106,583,1166

Greatest Common Factor

We found the factors 6599,1166 . The biggest common factor number is the GCF number.
So the greatest common factor 6599,1166 is 1.

Lets's calculate LCM of 558,804

Lowest Common Multiple of 558,804 using Common Division

2 558, 804
3 279, 402
93, 134

∴ So the LCM of the given numbers is 2 x 3 x 93 x 134 = 74772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74772

Therefore, the GCF of Fractions 6599/558,1166/804 is 1/74772

Least Common Multiple of 558,804 with GCF Formula

Least Common Multiple of 558,804 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 558,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,804) = 6

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

GCF(558,804) x common factors =6 x 1 = 6

LCM(558,804) = ( 558 × 804 ) / 6

LCM(558,804) = 448632 / 6

LCM(558,804) = 74772


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FAQs on GCF of Fractions of 6599/558, 1166/804

1. What is the HCF of 6599,1166?

The HCF of 6599,1166 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 6599/558, 1166/804?

Answer: GCF of Numerators as per given numbers 6599/558, 1166/804 is

GCF of Numerators i.e. for 6599,1166 is 1

LCM of denominators i.e. for 558,804 is 74772.

Thus, GCF of Fractions is 1/74772.Finally, GCF of Fractions for 6599/558, 1166/804 is 1/74772.