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GCF of 573/829, 189/690

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 573/829, 189/690 i.e 3/572010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/829, 189/690.

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 573/829,189/690?

Given fractions are 573/829,189/690

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 573/829,189/690, numerators are 573,189

Denominators are 829,690

The GCF of 573,189 is 3 .

LCM of 829,690 is 572010.

The greatest common factor of 573/829,189/690 = [GCF of 573,189]/[LCM of 829,690]= 3/572010

Therefore, the GCF of 573/829,189/690 is 3/572010.

Greatest Common Factor of 573,189

To find the highest common factor of 573,189, 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 189 are 1, 3, 7, 9, 21, 27, 63, 189

The HCF of 573,189 is 3.

Lets's calculate GCF of 573,189

Greatest Common Factor (GCF) of 573,189 By Common Division

3 573, 189
191, 63

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 573,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,189 By Matching Biggest Common Factor Method

Now, list down the factors of 573

:

1,3,191,573

Now, list down the factors of 189

:

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 573,189 . The biggest common factor number is the GCF number.
So the greatest common factor 573,189 is 3.

Lets's calculate LCM of 829,690

Lowest Common Multiple of 829,690 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 572010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/572010

Therefore, the GCF of Fractions 573/829,189/690 is 3/572010

Least Common Multiple of 829,690 with GCF Formula

Least Common Multiple of 829,690 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 829,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,690) = 1

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

GCF(829,690) x common factors =1 x 1 = 1

LCM(829,690) = ( 829 × 690 ) / 1

LCM(829,690) = 572010 / 1

LCM(829,690) = 572010


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FAQs on GCF of Fractions of 573/829, 189/690

1. What is the HCF of 573,189?

The HCF of 573,189 is 3

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 573/829, 189/690?

Answer: GCF of Numerators as per given numbers 573/829, 189/690 is

GCF of Numerators i.e. for 573,189 is 3

LCM of denominators i.e. for 829,690 is 572010.

Thus, GCF of Fractions is 3/572010.Finally, GCF of Fractions for 573/829, 189/690 is 3/572010.