How to Find GCF of 2304/429, 2143/8624?

GCF of 2304/429, 2143/8624

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 2304/429, 2143/8624 i.e 1/336336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2304/429, 2143/8624.

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 2304/429,2143/8624?

Given fractions are 2304/429,2143/8624

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 2304/429,2143/8624, numerators are 2304,2143

Denominators are 429,8624

The GCF of 2304,2143 is 1 .

LCM of 429,8624 is 336336.

The greatest common factor of 2304/429,2143/8624 = [GCF of 2304,2143]/[LCM of 429,8624]= 1/336336

Therefore, the GCF of 2304/429,2143/8624 is 1/336336.

Greatest Common Factor of 2304,2143

To find the highest common factor of 2304,2143, we have to find the factors of both numbers and list the highest common factor.

The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304

The factors of 2143 are 1, 2143

The HCF of 2304,2143 is 1.

Lets's calculate GCF of 2304,2143

Greatest Common Factor (GCF) of 2304,2143 By Common Division

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

Greatest Common Factor of 2304,2143 By Matching Biggest Common Factor Method

Now, list down the factors of 2304

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304

Now, list down the factors of 2143

1,2143

Greatest Common Factor

We found the factors 2304,2143 . The biggest common factor number is the GCF number.
So the greatest common factor 2304,2143 is 1.

Lets's calculate LCM of 429,8624

Lowest Common Multiple of 429,8624 using Common Division

11	429, 8624
	39, 784

∴ So the LCM of the given numbers is 11 x 39 x 784 = 336336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/336336

Therefore, the GCF of Fractions 2304/429,2143/8624 is 1/336336

Least Common Multiple of 429,8624 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 429,8624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,8624) = 11

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

GCF(429,8624) x common factors =11 x 1 = 11

LCM(429,8624) = ( 429 × 8624 ) / 11

LCM(429,8624) = 3699696 / 11

LCM(429,8624) = 336336

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2304/429, 2143/8624

1. What is the HCF of 2304,2143?

The HCF of 2304,2143 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 2304/429, 2143/8624?

Answer: GCF of Numerators as per given numbers 2304/429, 2143/8624 is

GCF of Numerators i.e. for 2304,2143 is 1

LCM of denominators i.e. for 429,8624 is 336336.

Thus, GCF of Fractions is 1/336336.Finally, GCF of Fractions for 2304/429, 2143/8624 is 1/336336.