How to Find GCF of 4749/943, 5284/2908?

GCF of 4749/943, 5284/2908

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 4749/943, 5284/2908 i.e 1/2742244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4749/943, 5284/2908.

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 4749/943,5284/2908?

Given fractions are 4749/943,5284/2908

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 4749/943,5284/2908, numerators are 4749,5284

Denominators are 943,2908

The GCF of 4749,5284 is 1 .

LCM of 943,2908 is 2742244.

The greatest common factor of 4749/943,5284/2908 = [GCF of 4749,5284]/[LCM of 943,2908]= 1/2742244

Therefore, the GCF of 4749/943,5284/2908 is 1/2742244.

Greatest Common Factor of 4749,5284

To find the highest common factor of 4749,5284, we have to find the factors of both numbers and list the highest common factor.

The factors of 4749 are 1, 3, 1583, 4749

The factors of 5284 are 1, 2, 4, 1321, 2642, 5284

The HCF of 4749,5284 is 1.

Lets's calculate GCF of 4749,5284

Greatest Common Factor (GCF) of 4749,5284 By Common Division

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

Greatest Common Factor of 4749,5284 By Matching Biggest Common Factor Method

Now, list down the factors of 4749

1,3,1583,4749

Now, list down the factors of 5284

1,2,4,1321,2642,5284

Greatest Common Factor

We found the factors 4749,5284 . The biggest common factor number is the GCF number.
So the greatest common factor 4749,5284 is 1.

Lets's calculate LCM of 943,2908

Lowest Common Multiple of 943,2908 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2742244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2742244

Therefore, the GCF of Fractions 4749/943,5284/2908 is 1/2742244

Least Common Multiple of 943,2908 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 943,2908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,2908) = 1

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

GCF(943,2908) x common factors =1 x 1 = 1

LCM(943,2908) = ( 943 × 2908 ) / 1

LCM(943,2908) = 2742244 / 1

LCM(943,2908) = 2742244

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4749/943, 5284/2908

1. What is the HCF of 4749,5284?

The HCF of 4749,5284 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 4749/943, 5284/2908?

Answer: GCF of Numerators as per given numbers 4749/943, 5284/2908 is

GCF of Numerators i.e. for 4749,5284 is 1

LCM of denominators i.e. for 943,2908 is 2742244.

Thus, GCF of Fractions is 1/2742244.Finally, GCF of Fractions for 4749/943, 5284/2908 is 1/2742244.