How to Find GCF of 812/810, 783/133?

GCF of 812/810, 783/133

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 812/810, 783/133 i.e 29/107730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/810, 783/133.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 812/810,783/133?

Given fractions are 812/810,783/133

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 812/810,783/133, numerators are 812,783

Denominators are 810,133

The GCF of 812,783 is 29 .

LCM of 810,133 is 107730.

The greatest common factor of 812/810,783/133 = [GCF of 812,783]/[LCM of 810,133]= 29/107730

Therefore, the GCF of 812/810,783/133 is 29/107730.

Greatest Common Factor of 812,783

To find the highest common factor of 812,783, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The HCF of 812,783 is 29.

Lets's calculate GCF of 812,783

Greatest Common Factor (GCF) of 812,783 By Common Division

29	812, 783
	28, 27

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 812,783 By Matching Biggest Common Factor Method

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 783

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 812,783 . The biggest common factor number is the GCF number.
So the greatest common factor 812,783 is 29.

Lets's calculate LCM of 810,133

Lowest Common Multiple of 810,133 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 107730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/107730

Therefore, the GCF of Fractions 812/810,783/133 is 29/107730

Least Common Multiple of 810,133 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 810,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,133) = 1

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

GCF(810,133) x common factors =1 x 1 = 1

LCM(810,133) = ( 810 × 133 ) / 1

LCM(810,133) = 107730 / 1

LCM(810,133) = 107730

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FAQs on GCF of Fractions of 812/810, 783/133

1. What is the HCF of 812,783?

The HCF of 812,783 is 29

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 812/810, 783/133?

Answer: GCF of Numerators as per given numbers 812/810, 783/133 is

GCF of Numerators i.e. for 812,783 is 29

LCM of denominators i.e. for 810,133 is 107730.

Thus, GCF of Fractions is 29/107730.Finally, GCF of Fractions for 812/810, 783/133 is 29/107730.