How to Find GCF of 5009/181, 4528/8035?

GCF of 5009/181, 4528/8035

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 5009/181, 4528/8035 i.e 1/1454335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5009/181, 4528/8035.

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 5009/181,4528/8035?

Given fractions are 5009/181,4528/8035

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 5009/181,4528/8035, numerators are 5009,4528

Denominators are 181,8035

The GCF of 5009,4528 is 1 .

LCM of 181,8035 is 1454335.

The greatest common factor of 5009/181,4528/8035 = [GCF of 5009,4528]/[LCM of 181,8035]= 1/1454335

Therefore, the GCF of 5009/181,4528/8035 is 1/1454335.

Greatest Common Factor of 5009,4528

To find the highest common factor of 5009,4528, we have to find the factors of both numbers and list the highest common factor.

The factors of 5009 are 1, 5009

The factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528

The HCF of 5009,4528 is 1.

Lets's calculate GCF of 5009,4528

Greatest Common Factor (GCF) of 5009,4528 By Common Division

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

Greatest Common Factor of 5009,4528 By Matching Biggest Common Factor Method

Now, list down the factors of 5009

1,5009

Now, list down the factors of 4528

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors 5009,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,4528 is 1.

Lets's calculate LCM of 181,8035

Lowest Common Multiple of 181,8035 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1454335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1454335

Therefore, the GCF of Fractions 5009/181,4528/8035 is 1/1454335

Least Common Multiple of 181,8035 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 181,8035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,8035) = 1

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

GCF(181,8035) x common factors =1 x 1 = 1

LCM(181,8035) = ( 181 × 8035 ) / 1

LCM(181,8035) = 1454335 / 1

LCM(181,8035) = 1454335

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FAQs on GCF of Fractions of 5009/181, 4528/8035

1. What is the HCF of 5009,4528?

The HCF of 5009,4528 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 5009/181, 4528/8035?

Answer: GCF of Numerators as per given numbers 5009/181, 4528/8035 is

GCF of Numerators i.e. for 5009,4528 is 1

LCM of denominators i.e. for 181,8035 is 1454335.

Thus, GCF of Fractions is 1/1454335.Finally, GCF of Fractions for 5009/181, 4528/8035 is 1/1454335.