How to Find GCF of 573/429, 470/329?

GCF of 573/429, 470/329

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 573/429, 470/329 i.e 1/141141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/429, 470/329.

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 573/429,470/329?

Given fractions are 573/429,470/329

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 573/429,470/329, numerators are 573,470

Denominators are 429,329

The GCF of 573,470 is 1 .

LCM of 429,329 is 141141.

The greatest common factor of 573/429,470/329 = [GCF of 573,470]/[LCM of 429,329]= 1/141141

Therefore, the GCF of 573/429,470/329 is 1/141141.

Greatest Common Factor of 573,470

To find the highest common factor of 573,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 573 are 1, 3, 191, 573

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 573,470 is 1.

Lets's calculate GCF of 573,470

Greatest Common Factor (GCF) of 573,470 By Common Division

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

Greatest Common Factor of 573,470 By Matching Biggest Common Factor Method

Now, list down the factors of 573

1,3,191,573

Now, list down the factors of 470

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 573,470 . The biggest common factor number is the GCF number.
So the greatest common factor 573,470 is 1.

Lets's calculate LCM of 429,329

Lowest Common Multiple of 429,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141141

Therefore, the GCF of Fractions 573/429,470/329 is 1/141141

Least Common Multiple of 429,329 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 429,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,329) = 1

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

GCF(429,329) x common factors =1 x 1 = 1

LCM(429,329) = ( 429 × 329 ) / 1

LCM(429,329) = 141141 / 1

LCM(429,329) = 141141

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FAQs on GCF of Fractions of 573/429, 470/329

1. What is the HCF of 573,470?

The HCF of 573,470 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 573/429, 470/329?

Answer: GCF of Numerators as per given numbers 573/429, 470/329 is

GCF of Numerators i.e. for 573,470 is 1

LCM of denominators i.e. for 429,329 is 141141.

Thus, GCF of Fractions is 1/141141.Finally, GCF of Fractions for 573/429, 470/329 is 1/141141.