How to Find GCF of 5683/663, 4400/9494?

GCF of 5683/663, 4400/9494

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 5683/663, 4400/9494 i.e 1/6294522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5683/663, 4400/9494.

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 5683/663,4400/9494?

Given fractions are 5683/663,4400/9494

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 5683/663,4400/9494, numerators are 5683,4400

Denominators are 663,9494

The GCF of 5683,4400 is 1 .

LCM of 663,9494 is 6294522.

The greatest common factor of 5683/663,4400/9494 = [GCF of 5683,4400]/[LCM of 663,9494]= 1/6294522

Therefore, the GCF of 5683/663,4400/9494 is 1/6294522.

Greatest Common Factor of 5683,4400

To find the highest common factor of 5683,4400, we have to find the factors of both numbers and list the highest common factor.

The factors of 5683 are 1, 5683

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The HCF of 5683,4400 is 1.

Lets's calculate GCF of 5683,4400

Greatest Common Factor (GCF) of 5683,4400 By Common Division

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

Greatest Common Factor of 5683,4400 By Matching Biggest Common Factor Method

Now, list down the factors of 5683

1,5683

Now, list down the factors of 4400

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 5683,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 5683,4400 is 1.

Lets's calculate LCM of 663,9494

Lowest Common Multiple of 663,9494 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6294522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6294522

Therefore, the GCF of Fractions 5683/663,4400/9494 is 1/6294522

Least Common Multiple of 663,9494 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 663,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,9494) = 1

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

GCF(663,9494) x common factors =1 x 1 = 1

LCM(663,9494) = ( 663 × 9494 ) / 1

LCM(663,9494) = 6294522 / 1

LCM(663,9494) = 6294522

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5683/663, 4400/9494

1. What is the HCF of 5683,4400?

The HCF of 5683,4400 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 5683/663, 4400/9494?

Answer: GCF of Numerators as per given numbers 5683/663, 4400/9494 is

GCF of Numerators i.e. for 5683,4400 is 1

LCM of denominators i.e. for 663,9494 is 6294522.

Thus, GCF of Fractions is 1/6294522.Finally, GCF of Fractions for 5683/663, 4400/9494 is 1/6294522.