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GCF of 574/245, 536/384

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 574/245, 536/384 i.e 2/94080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/245, 536/384.

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 574/245,536/384?

Given fractions are 574/245,536/384

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 574/245,536/384, numerators are 574,536

Denominators are 245,384

The GCF of 574,536 is 2 .

LCM of 245,384 is 94080.

The greatest common factor of 574/245,536/384 = [GCF of 574,536]/[LCM of 245,384]= 2/94080

Therefore, the GCF of 574/245,536/384 is 2/94080.

Greatest Common Factor of 574,536

To find the highest common factor of 574,536, 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 536 are 1, 2, 4, 8, 67, 134, 268, 536

The HCF of 574,536 is 2.

Lets's calculate GCF of 574,536

Greatest Common Factor (GCF) of 574,536 By Common Division

2 574, 536
287, 268

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

Greatest Common Factor of 574,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,536 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 536

:

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 574,536 . The biggest common factor number is the GCF number.
So the greatest common factor 574,536 is 2.

Lets's calculate LCM of 245,384

Lowest Common Multiple of 245,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 94080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94080

Therefore, the GCF of Fractions 574/245,536/384 is 2/94080

Least Common Multiple of 245,384 with GCF Formula

Least Common Multiple of 245,384 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 245,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,384) = 1

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

GCF(245,384) x common factors =1 x 1 = 1

LCM(245,384) = ( 245 × 384 ) / 1

LCM(245,384) = 94080 / 1

LCM(245,384) = 94080


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FAQs on GCF of Fractions of 574/245, 536/384

1. What is the HCF of 574,536?

The HCF of 574,536 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 574/245, 536/384?

Answer: GCF of Numerators as per given numbers 574/245, 536/384 is

GCF of Numerators i.e. for 574,536 is 2

LCM of denominators i.e. for 245,384 is 94080.

Thus, GCF of Fractions is 2/94080.Finally, GCF of Fractions for 574/245, 536/384 is 2/94080.