How to Find GCF of 520/247, 1990/568?

GCF of 520/247, 1990/568

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 520/247, 1990/568 i.e 10/140296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/247, 1990/568.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 520/247,1990/568?

Given fractions are 520/247,1990/568

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 520/247,1990/568, numerators are 520,1990

Denominators are 247,568

The GCF of 520,1990 is 10 .

LCM of 247,568 is 140296.

The greatest common factor of 520/247,1990/568 = [GCF of 520,1990]/[LCM of 247,568]= 10/140296

Therefore, the GCF of 520/247,1990/568 is 10/140296.

Greatest Common Factor of 520,1990

To find the highest common factor of 520,1990, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990

The HCF of 520,1990 is 10.

Lets's calculate GCF of 520,1990

Greatest Common Factor (GCF) of 520,1990 By Common Division

2	520, 1990
5	260, 995
	52, 199

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 520,1990 By Matching Biggest Common Factor Method

Now, list down the factors of 520

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

Now, list down the factors of 1990

1,2,5,10,199,398,995,1990

Greatest Common Factor

We found the factors 520,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 520,1990 is 10.

Lets's calculate LCM of 247,568

Lowest Common Multiple of 247,568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/140296

Therefore, the GCF of Fractions 520/247,1990/568 is 10/140296

Least Common Multiple of 247,568 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 247,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,568) = 1

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

GCF(247,568) x common factors =1 x 1 = 1

LCM(247,568) = ( 247 × 568 ) / 1

LCM(247,568) = 140296 / 1

LCM(247,568) = 140296

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FAQs on GCF of Fractions of 520/247, 1990/568

1. What is the HCF of 520,1990?

The HCF of 520,1990 is 10

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 520/247, 1990/568?

Answer: GCF of Numerators as per given numbers 520/247, 1990/568 is

GCF of Numerators i.e. for 520,1990 is 10

LCM of denominators i.e. for 247,568 is 140296.

Thus, GCF of Fractions is 10/140296.Finally, GCF of Fractions for 520/247, 1990/568 is 10/140296.