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GCF of 823/666, 811/669

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 823/666, 811/669 i.e 1/148518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/666, 811/669.

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 823/666,811/669?

Given fractions are 823/666,811/669

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 823/666,811/669, numerators are 823,811

Denominators are 666,669

The GCF of 823,811 is 1 .

LCM of 666,669 is 148518.

The greatest common factor of 823/666,811/669 = [GCF of 823,811]/[LCM of 666,669]= 1/148518

Therefore, the GCF of 823/666,811/669 is 1/148518.

Greatest Common Factor of 823,811

To find the highest common factor of 823,811, we have to find the factors of both numbers and list the highest common factor.

The factors of 823 are 1, 823

The factors of 811 are 1, 811

The HCF of 823,811 is 1.

Lets's calculate GCF of 823,811

Greatest Common Factor (GCF) of 823,811 By Common Division

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

Greatest Common Factor of 823,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,811 By Matching Biggest Common Factor Method

Now, list down the factors of 823

:

1,823

Now, list down the factors of 811

:

1,811

Greatest Common Factor

We found the factors 823,811 . The biggest common factor number is the GCF number.
So the greatest common factor 823,811 is 1.

Lets's calculate LCM of 666,669

Lowest Common Multiple of 666,669 using Common Division

3 666, 669
222, 223

∴ So the LCM of the given numbers is 3 x 222 x 223 = 148518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148518

Therefore, the GCF of Fractions 823/666,811/669 is 1/148518

Least Common Multiple of 666,669 with GCF Formula

Least Common Multiple of 666,669 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 666,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,669) = 3

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

GCF(666,669) x common factors =3 x 1 = 3

LCM(666,669) = ( 666 × 669 ) / 3

LCM(666,669) = 445554 / 3

LCM(666,669) = 148518


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FAQs on GCF of Fractions of 823/666, 811/669

1. What is the HCF of 823,811?

The HCF of 823,811 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 823/666, 811/669?

Answer: GCF of Numerators as per given numbers 823/666, 811/669 is

GCF of Numerators i.e. for 823,811 is 1

LCM of denominators i.e. for 666,669 is 148518.

Thus, GCF of Fractions is 1/148518.Finally, GCF of Fractions for 823/666, 811/669 is 1/148518.