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GCF of 578/29, 521/887

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 578/29, 521/887 i.e 1/25723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 578/29, 521/887.

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 578/29,521/887?

Given fractions are 578/29,521/887

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 578/29,521/887, numerators are 578,521

Denominators are 29,887

The GCF of 578,521 is 1 .

LCM of 29,887 is 25723.

The greatest common factor of 578/29,521/887 = [GCF of 578,521]/[LCM of 29,887]= 1/25723

Therefore, the GCF of 578/29,521/887 is 1/25723.

Greatest Common Factor of 578,521

To find the highest common factor of 578,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 578 are 1, 2, 17, 34, 289, 578

The factors of 521 are 1, 521

The HCF of 578,521 is 1.

Lets's calculate GCF of 578,521

Greatest Common Factor (GCF) of 578,521 By Common Division

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

Greatest Common Factor of 578,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,521 By Matching Biggest Common Factor Method

Now, list down the factors of 578

:

1,2,17,34,289,578

Now, list down the factors of 521

:

1,521

Greatest Common Factor

We found the factors 578,521 . The biggest common factor number is the GCF number.
So the greatest common factor 578,521 is 1.

Lets's calculate LCM of 29,887

Lowest Common Multiple of 29,887 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25723

Therefore, the GCF of Fractions 578/29,521/887 is 1/25723

Least Common Multiple of 29,887 with GCF Formula

Least Common Multiple of 29,887 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 29,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,887) = 1

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

GCF(29,887) x common factors =1 x 1 = 1

LCM(29,887) = ( 29 × 887 ) / 1

LCM(29,887) = 25723 / 1

LCM(29,887) = 25723


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FAQs on GCF of Fractions of 578/29, 521/887

1. What is the HCF of 578,521?

The HCF of 578,521 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 578/29, 521/887?

Answer: GCF of Numerators as per given numbers 578/29, 521/887 is

GCF of Numerators i.e. for 578,521 is 1

LCM of denominators i.e. for 29,887 is 25723.

Thus, GCF of Fractions is 1/25723.Finally, GCF of Fractions for 578/29, 521/887 is 1/25723.