How to Find GCF of 1066/813, 5366/5225?

GCF of 1066/813, 5366/5225

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 1066/813, 5366/5225 i.e 2/4247925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1066/813, 5366/5225.

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 1066/813,5366/5225?

Given fractions are 1066/813,5366/5225

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 1066/813,5366/5225, numerators are 1066,5366

Denominators are 813,5225

The GCF of 1066,5366 is 2 .

LCM of 813,5225 is 4247925.

The greatest common factor of 1066/813,5366/5225 = [GCF of 1066,5366]/[LCM of 813,5225]= 2/4247925

Therefore, the GCF of 1066/813,5366/5225 is 2/4247925.

Greatest Common Factor of 1066,5366

To find the highest common factor of 1066,5366, we have to find the factors of both numbers and list the highest common factor.

The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066

The factors of 5366 are 1, 2, 2683, 5366

The HCF of 1066,5366 is 2.

Lets's calculate GCF of 1066,5366

Greatest Common Factor (GCF) of 1066,5366 By Common Division

2	1066, 5366
	533, 2683

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

Greatest Common Factor of 1066,5366 By Matching Biggest Common Factor Method

Now, list down the factors of 1066

1,2,13,26,41,82,533,1066

Now, list down the factors of 5366

1,2,2683,5366

Greatest Common Factor

We found the factors 1066,5366 . The biggest common factor number is the GCF number.
So the greatest common factor 1066,5366 is 2.

Lets's calculate LCM of 813,5225

Lowest Common Multiple of 813,5225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4247925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4247925

Therefore, the GCF of Fractions 1066/813,5366/5225 is 2/4247925

Least Common Multiple of 813,5225 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 813,5225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,5225) = 1

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

GCF(813,5225) x common factors =1 x 1 = 1

LCM(813,5225) = ( 813 × 5225 ) / 1

LCM(813,5225) = 4247925 / 1

LCM(813,5225) = 4247925

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FAQs on GCF of Fractions of 1066/813, 5366/5225

1. What is the HCF of 1066,5366?

The HCF of 1066,5366 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 1066/813, 5366/5225?

Answer: GCF of Numerators as per given numbers 1066/813, 5366/5225 is

GCF of Numerators i.e. for 1066,5366 is 2

LCM of denominators i.e. for 813,5225 is 4247925.

Thus, GCF of Fractions is 2/4247925.Finally, GCF of Fractions for 1066/813, 5366/5225 is 2/4247925.