How to Find GCF of 3310/804, 7723/5084?

GCF of 3310/804, 7723/5084

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 3310/804, 7723/5084 i.e 1/1021884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3310/804, 7723/5084.

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 3310/804,7723/5084?

Given fractions are 3310/804,7723/5084

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 3310/804,7723/5084, numerators are 3310,7723

Denominators are 804,5084

The GCF of 3310,7723 is 1 .

LCM of 804,5084 is 1021884.

The greatest common factor of 3310/804,7723/5084 = [GCF of 3310,7723]/[LCM of 804,5084]= 1/1021884

Therefore, the GCF of 3310/804,7723/5084 is 1/1021884.

Greatest Common Factor of 3310,7723

To find the highest common factor of 3310,7723, we have to find the factors of both numbers and list the highest common factor.

The factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310

The factors of 7723 are 1, 7723

The HCF of 3310,7723 is 1.

Lets's calculate GCF of 3310,7723

Greatest Common Factor (GCF) of 3310,7723 By Common Division

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

Greatest Common Factor of 3310,7723 By Matching Biggest Common Factor Method

Now, list down the factors of 3310

1,2,5,10,331,662,1655,3310

Now, list down the factors of 7723

1,7723

Greatest Common Factor

We found the factors 3310,7723 . The biggest common factor number is the GCF number.
So the greatest common factor 3310,7723 is 1.

Lets's calculate LCM of 804,5084

Lowest Common Multiple of 804,5084 using Common Division

2	804, 5084
2	402, 2542
	201, 1271

∴ So the LCM of the given numbers is 2 x 2 x 201 x 1271 = 1021884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1021884

Therefore, the GCF of Fractions 3310/804,7723/5084 is 1/1021884

Least Common Multiple of 804,5084 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 804,5084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,5084) = 4

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

GCF(804,5084) x common factors =4 x 1 = 4

LCM(804,5084) = ( 804 × 5084 ) / 4

LCM(804,5084) = 4087536 / 4

LCM(804,5084) = 1021884

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FAQs on GCF of Fractions of 3310/804, 7723/5084

1. What is the HCF of 3310,7723?

The HCF of 3310,7723 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 3310/804, 7723/5084?

Answer: GCF of Numerators as per given numbers 3310/804, 7723/5084 is

GCF of Numerators i.e. for 3310,7723 is 1

LCM of denominators i.e. for 804,5084 is 1021884.

Thus, GCF of Fractions is 1/1021884.Finally, GCF of Fractions for 3310/804, 7723/5084 is 1/1021884.