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GCF of 6658/66, 3526/338

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 6658/66, 3526/338 i.e 2/11154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6658/66, 3526/338.

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 6658/66,3526/338?

Given fractions are 6658/66,3526/338

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 6658/66,3526/338, numerators are 6658,3526

Denominators are 66,338

The GCF of 6658,3526 is 2 .

LCM of 66,338 is 11154.

The greatest common factor of 6658/66,3526/338 = [GCF of 6658,3526]/[LCM of 66,338]= 2/11154

Therefore, the GCF of 6658/66,3526/338 is 2/11154.

Greatest Common Factor of 6658,3526

To find the highest common factor of 6658,3526, we have to find the factors of both numbers and list the highest common factor.

The factors of 6658 are 1, 2, 3329, 6658

The factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526

The HCF of 6658,3526 is 2.

Lets's calculate GCF of 6658,3526

Greatest Common Factor (GCF) of 6658,3526 By Common Division

2 6658, 3526
3329, 1763

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6658,3526 By Matching Biggest Common Factor Method

Greatest Common Factor of 6658,3526 By Matching Biggest Common Factor Method

Now, list down the factors of 6658

:

1,2,3329,6658

Now, list down the factors of 3526

:

1,2,41,43,82,86,1763,3526

Greatest Common Factor

We found the factors 6658,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,3526 is 2.

Lets's calculate LCM of 66,338

Lowest Common Multiple of 66,338 using Common Division

2 66, 338
33, 169

∴ So the LCM of the given numbers is 2 x 33 x 169 = 11154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11154

Therefore, the GCF of Fractions 6658/66,3526/338 is 2/11154

Least Common Multiple of 66,338 with GCF Formula

Least Common Multiple of 66,338 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 66,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,338) = 2

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

GCF(66,338) x common factors =2 x 1 = 2

LCM(66,338) = ( 66 × 338 ) / 2

LCM(66,338) = 22308 / 2

LCM(66,338) = 11154


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FAQs on GCF of Fractions of 6658/66, 3526/338

1. What is the HCF of 6658,3526?

The HCF of 6658,3526 is 2

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 6658/66, 3526/338?

Answer: GCF of Numerators as per given numbers 6658/66, 3526/338 is

GCF of Numerators i.e. for 6658,3526 is 2

LCM of denominators i.e. for 66,338 is 11154.

Thus, GCF of Fractions is 2/11154.Finally, GCF of Fractions for 6658/66, 3526/338 is 2/11154.