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GCF of 574/190, 520/729

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 574/190, 520/729 i.e 2/138510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/190, 520/729.

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 574/190,520/729?

Given fractions are 574/190,520/729

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 574/190,520/729, numerators are 574,520

Denominators are 190,729

The GCF of 574,520 is 2 .

LCM of 190,729 is 138510.

The greatest common factor of 574/190,520/729 = [GCF of 574,520]/[LCM of 190,729]= 2/138510

Therefore, the GCF of 574/190,520/729 is 2/138510.

Greatest Common Factor of 574,520

To find the highest common factor of 574,520, 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 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The HCF of 574,520 is 2.

Lets's calculate GCF of 574,520

Greatest Common Factor (GCF) of 574,520 By Common Division

2 574, 520
287, 260

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

Greatest Common Factor of 574,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,520 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 520

:

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 574,520 . The biggest common factor number is the GCF number.
So the greatest common factor 574,520 is 2.

Lets's calculate LCM of 190,729

Lowest Common Multiple of 190,729 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 138510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/138510

Therefore, the GCF of Fractions 574/190,520/729 is 2/138510

Least Common Multiple of 190,729 with GCF Formula

Least Common Multiple of 190,729 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 190,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,729) = 1

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

GCF(190,729) x common factors =1 x 1 = 1

LCM(190,729) = ( 190 × 729 ) / 1

LCM(190,729) = 138510 / 1

LCM(190,729) = 138510


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FAQs on GCF of Fractions of 574/190, 520/729

1. What is the HCF of 574,520?

The HCF of 574,520 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 574/190, 520/729?

Answer: GCF of Numerators as per given numbers 574/190, 520/729 is

GCF of Numerators i.e. for 574,520 is 2

LCM of denominators i.e. for 190,729 is 138510.

Thus, GCF of Fractions is 2/138510.Finally, GCF of Fractions for 574/190, 520/729 is 2/138510.