How to Find GCF of 4549/516, 8099/204?

GCF of 4549/516, 8099/204

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 4549/516, 8099/204 i.e 1/8772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4549/516, 8099/204.

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 4549/516,8099/204?

Given fractions are 4549/516,8099/204

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 4549/516,8099/204, numerators are 4549,8099

Denominators are 516,204

The GCF of 4549,8099 is 1 .

LCM of 516,204 is 8772.

The greatest common factor of 4549/516,8099/204 = [GCF of 4549,8099]/[LCM of 516,204]= 1/8772

Therefore, the GCF of 4549/516,8099/204 is 1/8772.

Greatest Common Factor of 4549,8099

To find the highest common factor of 4549,8099, we have to find the factors of both numbers and list the highest common factor.

The factors of 4549 are 1, 4549

The factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099

The HCF of 4549,8099 is 1.

Lets's calculate GCF of 4549,8099

Greatest Common Factor (GCF) of 4549,8099 By Common Division

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

Greatest Common Factor of 4549,8099 By Matching Biggest Common Factor Method

Now, list down the factors of 4549

1,4549

Now, list down the factors of 8099

1,7,13,89,91,623,1157,8099

Greatest Common Factor

We found the factors 4549,8099 . The biggest common factor number is the GCF number.
So the greatest common factor 4549,8099 is 1.

Lets's calculate LCM of 516,204

Lowest Common Multiple of 516,204 using Common Division

2	516, 204
2	258, 102
3	129, 51
	43, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 17 = 8772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8772

Therefore, the GCF of Fractions 4549/516,8099/204 is 1/8772

Least Common Multiple of 516,204 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 516,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,204) = 12

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

GCF(516,204) x common factors =12 x 1 = 12

LCM(516,204) = ( 516 × 204 ) / 12

LCM(516,204) = 105264 / 12

LCM(516,204) = 8772

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FAQs on GCF of Fractions of 4549/516, 8099/204

1. What is the HCF of 4549,8099?

The HCF of 4549,8099 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 4549/516, 8099/204?

Answer: GCF of Numerators as per given numbers 4549/516, 8099/204 is

GCF of Numerators i.e. for 4549,8099 is 1

LCM of denominators i.e. for 516,204 is 8772.

Thus, GCF of Fractions is 1/8772.Finally, GCF of Fractions for 4549/516, 8099/204 is 1/8772.