How to Find GCF of 6599/687, 6150/5909?

GCF of 6599/687, 6150/5909

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 6599/687, 6150/5909 i.e 1/4059483 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6599/687, 6150/5909.

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 6599/687,6150/5909?

Given fractions are 6599/687,6150/5909

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 6599/687,6150/5909, numerators are 6599,6150

Denominators are 687,5909

The GCF of 6599,6150 is 1 .

LCM of 687,5909 is 4059483.

The greatest common factor of 6599/687,6150/5909 = [GCF of 6599,6150]/[LCM of 687,5909]= 1/4059483

Therefore, the GCF of 6599/687,6150/5909 is 1/4059483.

Greatest Common Factor of 6599,6150

To find the highest common factor of 6599,6150, we have to find the factors of both numbers and list the highest common factor.

The factors of 6599 are 1, 6599

The factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150

The HCF of 6599,6150 is 1.

Lets's calculate GCF of 6599,6150

Greatest Common Factor (GCF) of 6599,6150 By Common Division

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

Greatest Common Factor of 6599,6150 By Matching Biggest Common Factor Method

Now, list down the factors of 6599

1,6599

Now, list down the factors of 6150

1,2,3,5,6,10,15,25,30,41,50,75,82,123,150,205,246,410,615,1025,1230,2050,3075,6150

Greatest Common Factor

We found the factors 6599,6150 . The biggest common factor number is the GCF number.
So the greatest common factor 6599,6150 is 1.

Lets's calculate LCM of 687,5909

Lowest Common Multiple of 687,5909 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4059483

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4059483

Therefore, the GCF of Fractions 6599/687,6150/5909 is 1/4059483

Least Common Multiple of 687,5909 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 687,5909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,5909) = 1

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

GCF(687,5909) x common factors =1 x 1 = 1

LCM(687,5909) = ( 687 × 5909 ) / 1

LCM(687,5909) = 4059483 / 1

LCM(687,5909) = 4059483

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FAQs on GCF of Fractions of 6599/687, 6150/5909

1. What is the HCF of 6599,6150?

The HCF of 6599,6150 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 6599/687, 6150/5909?

Answer: GCF of Numerators as per given numbers 6599/687, 6150/5909 is

GCF of Numerators i.e. for 6599,6150 is 1

LCM of denominators i.e. for 687,5909 is 4059483.

Thus, GCF of Fractions is 1/4059483.Finally, GCF of Fractions for 6599/687, 6150/5909 is 1/4059483.