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GCF of 515/809, 4027/204

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 515/809, 4027/204 i.e 1/165036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/809, 4027/204.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 515/809,4027/204?

Given fractions are 515/809,4027/204

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 515/809,4027/204, numerators are 515,4027

Denominators are 809,204

The GCF of 515,4027 is 1 .

LCM of 809,204 is 165036.

The greatest common factor of 515/809,4027/204 = [GCF of 515,4027]/[LCM of 809,204]= 1/165036

Therefore, the GCF of 515/809,4027/204 is 1/165036.

Greatest Common Factor of 515,4027

To find the highest common factor of 515,4027, we have to find the factors of both numbers and list the highest common factor.

The factors of 515 are 1, 5, 103, 515

The factors of 4027 are 1, 4027

The HCF of 515,4027 is 1.

Lets's calculate GCF of 515,4027

Greatest Common Factor (GCF) of 515,4027 By Common Division

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

Greatest Common Factor of 515,4027 By Matching Biggest Common Factor Method

Greatest Common Factor of 515,4027 By Matching Biggest Common Factor Method

Now, list down the factors of 515

:

1,5,103,515

Now, list down the factors of 4027

:

1,4027

Greatest Common Factor

We found the factors 515,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 515,4027 is 1.

Lets's calculate LCM of 809,204

Lowest Common Multiple of 809,204 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 165036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165036

Therefore, the GCF of Fractions 515/809,4027/204 is 1/165036

Least Common Multiple of 809,204 with GCF Formula

Least Common Multiple of 809,204 with GCF Formula

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

We need to calculate greatest common factor of 809,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,204) = 1

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

GCF(809,204) x common factors =1 x 1 = 1

LCM(809,204) = ( 809 × 204 ) / 1

LCM(809,204) = 165036 / 1

LCM(809,204) = 165036


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FAQs on GCF of Fractions of 515/809, 4027/204

1. What is the HCF of 515,4027?

The HCF of 515,4027 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 515/809, 4027/204?

Answer: GCF of Numerators as per given numbers 515/809, 4027/204 is

GCF of Numerators i.e. for 515,4027 is 1

LCM of denominators i.e. for 809,204 is 165036.

Thus, GCF of Fractions is 1/165036.Finally, GCF of Fractions for 515/809, 4027/204 is 1/165036.