How to Find GCF of 6459/200, 8446/5345?

GCF of 6459/200, 8446/5345

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 6459/200, 8446/5345 i.e 1/213800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6459/200, 8446/5345.

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 6459/200,8446/5345?

Given fractions are 6459/200,8446/5345

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 6459/200,8446/5345, numerators are 6459,8446

Denominators are 200,5345

The GCF of 6459,8446 is 1 .

LCM of 200,5345 is 213800.

The greatest common factor of 6459/200,8446/5345 = [GCF of 6459,8446]/[LCM of 200,5345]= 1/213800

Therefore, the GCF of 6459/200,8446/5345 is 1/213800.

Greatest Common Factor of 6459,8446

To find the highest common factor of 6459,8446, we have to find the factors of both numbers and list the highest common factor.

The factors of 6459 are 1, 3, 2153, 6459

The factors of 8446 are 1, 2, 41, 82, 103, 206, 4223, 8446

The HCF of 6459,8446 is 1.

Lets's calculate GCF of 6459,8446

Greatest Common Factor (GCF) of 6459,8446 By Common Division

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

Greatest Common Factor of 6459,8446 By Matching Biggest Common Factor Method

Now, list down the factors of 6459

1,3,2153,6459

Now, list down the factors of 8446

1,2,41,82,103,206,4223,8446

Greatest Common Factor

We found the factors 6459,8446 . The biggest common factor number is the GCF number.
So the greatest common factor 6459,8446 is 1.

Lets's calculate LCM of 200,5345

Lowest Common Multiple of 200,5345 using Common Division

5	200, 5345
	40, 1069

∴ So the LCM of the given numbers is 5 x 40 x 1069 = 213800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213800

Therefore, the GCF of Fractions 6459/200,8446/5345 is 1/213800

Least Common Multiple of 200,5345 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 200,5345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,5345) = 5

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

GCF(200,5345) x common factors =5 x 1 = 5

LCM(200,5345) = ( 200 × 5345 ) / 5

LCM(200,5345) = 1069000 / 5

LCM(200,5345) = 213800

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FAQs on GCF of Fractions of 6459/200, 8446/5345

1. What is the HCF of 6459,8446?

The HCF of 6459,8446 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 6459/200, 8446/5345?

Answer: GCF of Numerators as per given numbers 6459/200, 8446/5345 is

GCF of Numerators i.e. for 6459,8446 is 1

LCM of denominators i.e. for 200,5345 is 213800.

Thus, GCF of Fractions is 1/213800.Finally, GCF of Fractions for 6459/200, 8446/5345 is 1/213800.