How to Find GCF of 4589/704, 4439/8448?

GCF of 4589/704, 4439/8448

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 4589/704, 4439/8448 i.e 1/8448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4589/704, 4439/8448.

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 4589/704,4439/8448?

Given fractions are 4589/704,4439/8448

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 4589/704,4439/8448, numerators are 4589,4439

Denominators are 704,8448

The GCF of 4589,4439 is 1 .

LCM of 704,8448 is 8448.

The greatest common factor of 4589/704,4439/8448 = [GCF of 4589,4439]/[LCM of 704,8448]= 1/8448

Therefore, the GCF of 4589/704,4439/8448 is 1/8448.

Greatest Common Factor of 4589,4439

To find the highest common factor of 4589,4439, we have to find the factors of both numbers and list the highest common factor.

The factors of 4589 are 1, 13, 353, 4589

The factors of 4439 are 1, 23, 193, 4439

The HCF of 4589,4439 is 1.

Lets's calculate GCF of 4589,4439

Greatest Common Factor (GCF) of 4589,4439 By Common Division

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

Greatest Common Factor of 4589,4439 By Matching Biggest Common Factor Method

Now, list down the factors of 4589

1,13,353,4589

Now, list down the factors of 4439

1,23,193,4439

Greatest Common Factor

We found the factors 4589,4439 . The biggest common factor number is the GCF number.
So the greatest common factor 4589,4439 is 1.

Lets's calculate LCM of 704,8448

Lowest Common Multiple of 704,8448 using Common Division

2	704, 8448
2	352, 4224
2	176, 2112
2	88, 1056
2	44, 528
2	22, 264
11	11, 132
	1, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 11 x 1 x 12 = 8448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8448

Therefore, the GCF of Fractions 4589/704,4439/8448 is 1/8448

Least Common Multiple of 704,8448 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 704,8448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,8448) = 704

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

GCF(704,8448) x common factors =704 x 1 = 704

LCM(704,8448) = ( 704 × 8448 ) / 704

LCM(704,8448) = 5947392 / 704

LCM(704,8448) = 8448

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FAQs on GCF of Fractions of 4589/704, 4439/8448

1. What is the HCF of 4589,4439?

The HCF of 4589,4439 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 4589/704, 4439/8448?

Answer: GCF of Numerators as per given numbers 4589/704, 4439/8448 is

GCF of Numerators i.e. for 4589,4439 is 1

LCM of denominators i.e. for 704,8448 is 8448.

Thus, GCF of Fractions is 1/8448.Finally, GCF of Fractions for 4589/704, 4439/8448 is 1/8448.