How to Find GCF of 1209/815, 8828/6662?

GCF of 1209/815, 8828/6662

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 1209/815, 8828/6662 i.e 1/5429530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1209/815, 8828/6662.

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 1209/815,8828/6662?

Given fractions are 1209/815,8828/6662

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 1209/815,8828/6662, numerators are 1209,8828

Denominators are 815,6662

The GCF of 1209,8828 is 1 .

LCM of 815,6662 is 5429530.

The greatest common factor of 1209/815,8828/6662 = [GCF of 1209,8828]/[LCM of 815,6662]= 1/5429530

Therefore, the GCF of 1209/815,8828/6662 is 1/5429530.

Greatest Common Factor of 1209,8828

To find the highest common factor of 1209,8828, we have to find the factors of both numbers and list the highest common factor.

The factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209

The factors of 8828 are 1, 2, 4, 2207, 4414, 8828

The HCF of 1209,8828 is 1.

Lets's calculate GCF of 1209,8828

Greatest Common Factor (GCF) of 1209,8828 By Common Division

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

Greatest Common Factor of 1209,8828 By Matching Biggest Common Factor Method

Now, list down the factors of 1209

1,3,13,31,39,93,403,1209

Now, list down the factors of 8828

1,2,4,2207,4414,8828

Greatest Common Factor

We found the factors 1209,8828 . The biggest common factor number is the GCF number.
So the greatest common factor 1209,8828 is 1.

Lets's calculate LCM of 815,6662

Lowest Common Multiple of 815,6662 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5429530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5429530

Therefore, the GCF of Fractions 1209/815,8828/6662 is 1/5429530

Least Common Multiple of 815,6662 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 815,6662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,6662) = 1

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

GCF(815,6662) x common factors =1 x 1 = 1

LCM(815,6662) = ( 815 × 6662 ) / 1

LCM(815,6662) = 5429530 / 1

LCM(815,6662) = 5429530

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1209/815, 8828/6662

1. What is the HCF of 1209,8828?

The HCF of 1209,8828 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 1209/815, 8828/6662?

Answer: GCF of Numerators as per given numbers 1209/815, 8828/6662 is

GCF of Numerators i.e. for 1209,8828 is 1

LCM of denominators i.e. for 815,6662 is 5429530.

Thus, GCF of Fractions is 1/5429530.Finally, GCF of Fractions for 1209/815, 8828/6662 is 1/5429530.