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GCF of 533/38, 570/429

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 533/38, 570/429 i.e 1/16302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 533/38, 570/429.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 533/38,570/429?

Given fractions are 533/38,570/429

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 533/38,570/429, numerators are 533,570

Denominators are 38,429

The GCF of 533,570 is 1 .

LCM of 38,429 is 16302.

The greatest common factor of 533/38,570/429 = [GCF of 533,570]/[LCM of 38,429]= 1/16302

Therefore, the GCF of 533/38,570/429 is 1/16302.

Greatest Common Factor of 533,570

To find the highest common factor of 533,570, we have to find the factors of both numbers and list the highest common factor.

The factors of 533 are 1, 13, 41, 533

The factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

The HCF of 533,570 is 1.

Lets's calculate GCF of 533,570

Greatest Common Factor (GCF) of 533,570 By Common Division

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

Greatest Common Factor of 533,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,570 By Matching Biggest Common Factor Method

Now, list down the factors of 533

:

1,13,41,533

Now, list down the factors of 570

:

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 533,570 . The biggest common factor number is the GCF number.
So the greatest common factor 533,570 is 1.

Lets's calculate LCM of 38,429

Lowest Common Multiple of 38,429 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16302

Therefore, the GCF of Fractions 533/38,570/429 is 1/16302

Least Common Multiple of 38,429 with GCF Formula

Least Common Multiple of 38,429 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,429) = 1

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

GCF(38,429) x common factors =1 x 1 = 1

LCM(38,429) = ( 38 × 429 ) / 1

LCM(38,429) = 16302 / 1

LCM(38,429) = 16302


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FAQs on GCF of Fractions of 533/38, 570/429

1. What is the HCF of 533,570?

The HCF of 533,570 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 533/38, 570/429?

Answer: GCF of Numerators as per given numbers 533/38, 570/429 is

GCF of Numerators i.e. for 533,570 is 1

LCM of denominators i.e. for 38,429 is 16302.

Thus, GCF of Fractions is 1/16302.Finally, GCF of Fractions for 533/38, 570/429 is 1/16302.