How to Find GCF of 909/797, 6821/4200?

GCF of 909/797, 6821/4200

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 909/797, 6821/4200 i.e 1/3347400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/797, 6821/4200.

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 909/797,6821/4200?

Given fractions are 909/797,6821/4200

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 909/797,6821/4200, numerators are 909,6821

Denominators are 797,4200

The GCF of 909,6821 is 1 .

LCM of 797,4200 is 3347400.

The greatest common factor of 909/797,6821/4200 = [GCF of 909,6821]/[LCM of 797,4200]= 1/3347400

Therefore, the GCF of 909/797,6821/4200 is 1/3347400.

Greatest Common Factor of 909,6821

To find the highest common factor of 909,6821, we have to find the factors of both numbers and list the highest common factor.

The factors of 909 are 1, 3, 9, 101, 303, 909

The factors of 6821 are 1, 19, 359, 6821

The HCF of 909,6821 is 1.

Lets's calculate GCF of 909,6821

Greatest Common Factor (GCF) of 909,6821 By Common Division

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

Greatest Common Factor of 909,6821 By Matching Biggest Common Factor Method

Now, list down the factors of 909

1,3,9,101,303,909

Now, list down the factors of 6821

1,19,359,6821

Greatest Common Factor

We found the factors 909,6821 . The biggest common factor number is the GCF number.
So the greatest common factor 909,6821 is 1.

Lets's calculate LCM of 797,4200

Lowest Common Multiple of 797,4200 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3347400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3347400

Therefore, the GCF of Fractions 909/797,6821/4200 is 1/3347400

Least Common Multiple of 797,4200 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 797,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,4200) = 1

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

GCF(797,4200) x common factors =1 x 1 = 1

LCM(797,4200) = ( 797 × 4200 ) / 1

LCM(797,4200) = 3347400 / 1

LCM(797,4200) = 3347400

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FAQs on GCF of Fractions of 909/797, 6821/4200

1. What is the HCF of 909,6821?

The HCF of 909,6821 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 909/797, 6821/4200?

Answer: GCF of Numerators as per given numbers 909/797, 6821/4200 is

GCF of Numerators i.e. for 909,6821 is 1

LCM of denominators i.e. for 797,4200 is 3347400.

Thus, GCF of Fractions is 1/3347400.Finally, GCF of Fractions for 909/797, 6821/4200 is 1/3347400.