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GCF of 8263/188, 2766/308

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 8263/188, 2766/308 i.e 1/14476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8263/188, 2766/308.

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 8263/188,2766/308?

Given fractions are 8263/188,2766/308

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 8263/188,2766/308, numerators are 8263,2766

Denominators are 188,308

The GCF of 8263,2766 is 1 .

LCM of 188,308 is 14476.

The greatest common factor of 8263/188,2766/308 = [GCF of 8263,2766]/[LCM of 188,308]= 1/14476

Therefore, the GCF of 8263/188,2766/308 is 1/14476.

Greatest Common Factor of 8263,2766

To find the highest common factor of 8263,2766, we have to find the factors of both numbers and list the highest common factor.

The factors of 8263 are 1, 8263

The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766

The HCF of 8263,2766 is 1.

Lets's calculate GCF of 8263,2766

Greatest Common Factor (GCF) of 8263,2766 By Common Division

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

Greatest Common Factor of 8263,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 8263,2766 By Matching Biggest Common Factor Method

Now, list down the factors of 8263

:

1,8263

Now, list down the factors of 2766

:

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 8263,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 8263,2766 is 1.

Lets's calculate LCM of 188,308

Lowest Common Multiple of 188,308 using Common Division

2 188, 308
2 94, 154
47, 77

∴ So the LCM of the given numbers is 2 x 2 x 47 x 77 = 14476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14476

Therefore, the GCF of Fractions 8263/188,2766/308 is 1/14476

Least Common Multiple of 188,308 with GCF Formula

Least Common Multiple of 188,308 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 188,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,308) = 4

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

GCF(188,308) x common factors =4 x 1 = 4

LCM(188,308) = ( 188 × 308 ) / 4

LCM(188,308) = 57904 / 4

LCM(188,308) = 14476


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FAQs on GCF of Fractions of 8263/188, 2766/308

1. What is the HCF of 8263,2766?

The HCF of 8263,2766 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 8263/188, 2766/308?

Answer: GCF of Numerators as per given numbers 8263/188, 2766/308 is

GCF of Numerators i.e. for 8263,2766 is 1

LCM of denominators i.e. for 188,308 is 14476.

Thus, GCF of Fractions is 1/14476.Finally, GCF of Fractions for 8263/188, 2766/308 is 1/14476.