How to Find GCF of 2007/520, 1831/5750?

GCF of 2007/520, 1831/5750

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 2007/520, 1831/5750 i.e 1/299000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2007/520, 1831/5750.

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 2007/520,1831/5750?

Given fractions are 2007/520,1831/5750

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 2007/520,1831/5750, numerators are 2007,1831

Denominators are 520,5750

The GCF of 2007,1831 is 1 .

LCM of 520,5750 is 299000.

The greatest common factor of 2007/520,1831/5750 = [GCF of 2007,1831]/[LCM of 520,5750]= 1/299000

Therefore, the GCF of 2007/520,1831/5750 is 1/299000.

Greatest Common Factor of 2007,1831

To find the highest common factor of 2007,1831, we have to find the factors of both numbers and list the highest common factor.

The factors of 2007 are 1, 3, 9, 223, 669, 2007

The factors of 1831 are 1, 1831

The HCF of 2007,1831 is 1.

Lets's calculate GCF of 2007,1831

Greatest Common Factor (GCF) of 2007,1831 By Common Division

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

Greatest Common Factor of 2007,1831 By Matching Biggest Common Factor Method

Now, list down the factors of 2007

1,3,9,223,669,2007

Now, list down the factors of 1831

1,1831

Greatest Common Factor

We found the factors 2007,1831 . The biggest common factor number is the GCF number.
So the greatest common factor 2007,1831 is 1.

Lets's calculate LCM of 520,5750

Lowest Common Multiple of 520,5750 using Common Division

2	520, 5750
5	260, 2875
	52, 575

∴ So the LCM of the given numbers is 2 x 5 x 52 x 575 = 299000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299000

Therefore, the GCF of Fractions 2007/520,1831/5750 is 1/299000

Least Common Multiple of 520,5750 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 520,5750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5750) = 10

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

GCF(520,5750) x common factors =10 x 1 = 10

LCM(520,5750) = ( 520 × 5750 ) / 10

LCM(520,5750) = 2990000 / 10

LCM(520,5750) = 299000

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2007/520, 1831/5750

1. What is the HCF of 2007,1831?

The HCF of 2007,1831 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 2007/520, 1831/5750?

Answer: GCF of Numerators as per given numbers 2007/520, 1831/5750 is

GCF of Numerators i.e. for 2007,1831 is 1

LCM of denominators i.e. for 520,5750 is 299000.

Thus, GCF of Fractions is 1/299000.Finally, GCF of Fractions for 2007/520, 1831/5750 is 1/299000.