How to Find GCF of 8269/535, 9525/5183?

GCF of 8269/535, 9525/5183

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 8269/535, 9525/5183 i.e 1/2772905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8269/535, 9525/5183.

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 8269/535,9525/5183?

Given fractions are 8269/535,9525/5183

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 8269/535,9525/5183, numerators are 8269,9525

Denominators are 535,5183

The GCF of 8269,9525 is 1 .

LCM of 535,5183 is 2772905.

The greatest common factor of 8269/535,9525/5183 = [GCF of 8269,9525]/[LCM of 535,5183]= 1/2772905

Therefore, the GCF of 8269/535,9525/5183 is 1/2772905.

Greatest Common Factor of 8269,9525

To find the highest common factor of 8269,9525, we have to find the factors of both numbers and list the highest common factor.

The factors of 8269 are 1, 8269

The factors of 9525 are 1, 3, 5, 15, 25, 75, 127, 381, 635, 1905, 3175, 9525

The HCF of 8269,9525 is 1.

Lets's calculate GCF of 8269,9525

Greatest Common Factor (GCF) of 8269,9525 By Common Division

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

Greatest Common Factor of 8269,9525 By Matching Biggest Common Factor Method

Now, list down the factors of 8269

1,8269

Now, list down the factors of 9525

1,3,5,15,25,75,127,381,635,1905,3175,9525

Greatest Common Factor

We found the factors 8269,9525 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,9525 is 1.

Lets's calculate LCM of 535,5183

Lowest Common Multiple of 535,5183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2772905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2772905

Therefore, the GCF of Fractions 8269/535,9525/5183 is 1/2772905

Least Common Multiple of 535,5183 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 535,5183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,5183) = 1

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

GCF(535,5183) x common factors =1 x 1 = 1

LCM(535,5183) = ( 535 × 5183 ) / 1

LCM(535,5183) = 2772905 / 1

LCM(535,5183) = 2772905

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FAQs on GCF of Fractions of 8269/535, 9525/5183

1. What is the HCF of 8269,9525?

The HCF of 8269,9525 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 8269/535, 9525/5183?

Answer: GCF of Numerators as per given numbers 8269/535, 9525/5183 is

GCF of Numerators i.e. for 8269,9525 is 1

LCM of denominators i.e. for 535,5183 is 2772905.

Thus, GCF of Fractions is 1/2772905.Finally, GCF of Fractions for 8269/535, 9525/5183 is 1/2772905.