How to Find GCF of 7803/468, 4403/5672?

GCF of 7803/468, 4403/5672

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 7803/468, 4403/5672 i.e 17/663624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7803/468, 4403/5672.

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 7803/468,4403/5672?

Given fractions are 7803/468,4403/5672

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 7803/468,4403/5672, numerators are 7803,4403

Denominators are 468,5672

The GCF of 7803,4403 is 17 .

LCM of 468,5672 is 663624.

The greatest common factor of 7803/468,4403/5672 = [GCF of 7803,4403]/[LCM of 468,5672]= 17/663624

Therefore, the GCF of 7803/468,4403/5672 is 17/663624.

Greatest Common Factor of 7803,4403

To find the highest common factor of 7803,4403, we have to find the factors of both numbers and list the highest common factor.

The factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803

The factors of 4403 are 1, 7, 17, 37, 119, 259, 629, 4403

The HCF of 7803,4403 is 17.

Lets's calculate GCF of 7803,4403

Greatest Common Factor (GCF) of 7803,4403 By Common Division

17	7803, 4403
	459, 259

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 7803,4403 By Matching Biggest Common Factor Method

Now, list down the factors of 7803

1,3,9,17,27,51,153,289,459,867,2601,7803

Now, list down the factors of 4403

1,7,17,37,119,259,629,4403

Greatest Common Factor

We found the factors 7803,4403 . The biggest common factor number is the GCF number.
So the greatest common factor 7803,4403 is 17.

Lets's calculate LCM of 468,5672

Lowest Common Multiple of 468,5672 using Common Division

2	468, 5672
2	234, 2836
	117, 1418

∴ So the LCM of the given numbers is 2 x 2 x 117 x 1418 = 663624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/663624

Therefore, the GCF of Fractions 7803/468,4403/5672 is 17/663624

Least Common Multiple of 468,5672 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 468,5672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,5672) = 4

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

GCF(468,5672) x common factors =4 x 1 = 4

LCM(468,5672) = ( 468 × 5672 ) / 4

LCM(468,5672) = 2654496 / 4

LCM(468,5672) = 663624

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7803/468, 4403/5672

1. What is the HCF of 7803,4403?

The HCF of 7803,4403 is 17

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 7803/468, 4403/5672?

Answer: GCF of Numerators as per given numbers 7803/468, 4403/5672 is

GCF of Numerators i.e. for 7803,4403 is 17

LCM of denominators i.e. for 468,5672 is 663624.

Thus, GCF of Fractions is 17/663624.Finally, GCF of Fractions for 7803/468, 4403/5672 is 17/663624.