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GCF of 574/24, 538/7556

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 574/24, 538/7556 i.e 2/45336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/24, 538/7556.

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 574/24,538/7556?

Given fractions are 574/24,538/7556

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 574/24,538/7556, numerators are 574,538

Denominators are 24,7556

The GCF of 574,538 is 2 .

LCM of 24,7556 is 45336.

The greatest common factor of 574/24,538/7556 = [GCF of 574,538]/[LCM of 24,7556]= 2/45336

Therefore, the GCF of 574/24,538/7556 is 2/45336.

Greatest Common Factor of 574,538

To find the highest common factor of 574,538, we have to find the factors of both numbers and list the highest common factor.

The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574

The factors of 538 are 1, 2, 269, 538

The HCF of 574,538 is 2.

Lets's calculate GCF of 574,538

Greatest Common Factor (GCF) of 574,538 By Common Division

2 574, 538
287, 269

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 574,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,538 By Matching Biggest Common Factor Method

Now, list down the factors of 574

:

1,2,7,14,41,82,287,574

Now, list down the factors of 538

:

1,2,269,538

Greatest Common Factor

We found the factors 574,538 . The biggest common factor number is the GCF number.
So the greatest common factor 574,538 is 2.

Lets's calculate LCM of 24,7556

Lowest Common Multiple of 24,7556 using Common Division

2 24, 7556
2 12, 3778
6, 1889

∴ So the LCM of the given numbers is 2 x 2 x 6 x 1889 = 45336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45336

Therefore, the GCF of Fractions 574/24,538/7556 is 2/45336

Least Common Multiple of 24,7556 with GCF Formula

Least Common Multiple of 24,7556 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 24,7556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7556) = 4

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

GCF(24,7556) x common factors =4 x 1 = 4

LCM(24,7556) = ( 24 × 7556 ) / 4

LCM(24,7556) = 181344 / 4

LCM(24,7556) = 45336


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FAQs on GCF of Fractions of 574/24, 538/7556

1. What is the HCF of 574,538?

The HCF of 574,538 is 2

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 574/24, 538/7556?

Answer: GCF of Numerators as per given numbers 574/24, 538/7556 is

GCF of Numerators i.e. for 574,538 is 2

LCM of denominators i.e. for 24,7556 is 45336.

Thus, GCF of Fractions is 2/45336.Finally, GCF of Fractions for 574/24, 538/7556 is 2/45336.