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GCF of 574/384, 8971/2520

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 574/384, 8971/2520 i.e 1/40320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/384, 8971/2520.

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 574/384,8971/2520?

Given fractions are 574/384,8971/2520

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 574/384,8971/2520, numerators are 574,8971

Denominators are 384,2520

The GCF of 574,8971 is 1 .

LCM of 384,2520 is 40320.

The greatest common factor of 574/384,8971/2520 = [GCF of 574,8971]/[LCM of 384,2520]= 1/40320

Therefore, the GCF of 574/384,8971/2520 is 1/40320.

Greatest Common Factor of 574,8971

To find the highest common factor of 574,8971, 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 8971 are 1, 8971

The HCF of 574,8971 is 1.

Lets's calculate GCF of 574,8971

Greatest Common Factor (GCF) of 574,8971 By Common Division

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

Greatest Common Factor of 574,8971 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,8971 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 8971

:

1,8971

Greatest Common Factor

We found the factors 574,8971 . The biggest common factor number is the GCF number.
So the greatest common factor 574,8971 is 1.

Lets's calculate LCM of 384,2520

Lowest Common Multiple of 384,2520 using Common Division

2 384, 2520
2 192, 1260
2 96, 630
3 48, 315
16, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 16 x 105 = 40320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40320

Therefore, the GCF of Fractions 574/384,8971/2520 is 1/40320

Least Common Multiple of 384,2520 with GCF Formula

Least Common Multiple of 384,2520 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 384,2520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,2520) = 24

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

GCF(384,2520) x common factors =24 x 1 = 24

LCM(384,2520) = ( 384 × 2520 ) / 24

LCM(384,2520) = 967680 / 24

LCM(384,2520) = 40320


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FAQs on GCF of Fractions of 574/384, 8971/2520

1. What is the HCF of 574,8971?

The HCF of 574,8971 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 574/384, 8971/2520?

Answer: GCF of Numerators as per given numbers 574/384, 8971/2520 is

GCF of Numerators i.e. for 574,8971 is 1

LCM of denominators i.e. for 384,2520 is 40320.

Thus, GCF of Fractions is 1/40320.Finally, GCF of Fractions for 574/384, 8971/2520 is 1/40320.