How to Find GCF of 799/576, 4243/8384?

GCF of 799/576, 4243/8384

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 799/576, 4243/8384 i.e 1/75456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/576, 4243/8384.

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 799/576,4243/8384?

Given fractions are 799/576,4243/8384

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 799/576,4243/8384, numerators are 799,4243

Denominators are 576,8384

The GCF of 799,4243 is 1 .

LCM of 576,8384 is 75456.

The greatest common factor of 799/576,4243/8384 = [GCF of 799,4243]/[LCM of 576,8384]= 1/75456

Therefore, the GCF of 799/576,4243/8384 is 1/75456.

Greatest Common Factor of 799,4243

To find the highest common factor of 799,4243, we have to find the factors of both numbers and list the highest common factor.

The factors of 799 are 1, 17, 47, 799

The factors of 4243 are 1, 4243

The HCF of 799,4243 is 1.

Lets's calculate GCF of 799,4243

Greatest Common Factor (GCF) of 799,4243 By Common Division

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

Greatest Common Factor of 799,4243 By Matching Biggest Common Factor Method

Now, list down the factors of 799

1,17,47,799

Now, list down the factors of 4243

1,4243

Greatest Common Factor

We found the factors 799,4243 . The biggest common factor number is the GCF number.
So the greatest common factor 799,4243 is 1.

Lets's calculate LCM of 576,8384

Lowest Common Multiple of 576,8384 using Common Division

2	576, 8384
2	288, 4192
2	144, 2096
2	72, 1048
2	36, 524
2	18, 262
	9, 131

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 9 x 131 = 75456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75456

Therefore, the GCF of Fractions 799/576,4243/8384 is 1/75456

Least Common Multiple of 576,8384 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 576,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,8384) = 64

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

GCF(576,8384) x common factors =64 x 1 = 64

LCM(576,8384) = ( 576 × 8384 ) / 64

LCM(576,8384) = 4829184 / 64

LCM(576,8384) = 75456

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FAQs on GCF of Fractions of 799/576, 4243/8384

1. What is the HCF of 799,4243?

The HCF of 799,4243 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 799/576, 4243/8384?

Answer: GCF of Numerators as per given numbers 799/576, 4243/8384 is

GCF of Numerators i.e. for 799,4243 is 1

LCM of denominators i.e. for 576,8384 is 75456.

Thus, GCF of Fractions is 1/75456.Finally, GCF of Fractions for 799/576, 4243/8384 is 1/75456.