How to Find GCF of 1504/271, 4831/3044?

GCF of 1504/271, 4831/3044

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 1504/271, 4831/3044 i.e 1/824924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1504/271, 4831/3044.

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 1504/271,4831/3044?

Given fractions are 1504/271,4831/3044

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 1504/271,4831/3044, numerators are 1504,4831

Denominators are 271,3044

The GCF of 1504,4831 is 1 .

LCM of 271,3044 is 824924.

The greatest common factor of 1504/271,4831/3044 = [GCF of 1504,4831]/[LCM of 271,3044]= 1/824924

Therefore, the GCF of 1504/271,4831/3044 is 1/824924.

Greatest Common Factor of 1504,4831

To find the highest common factor of 1504,4831, we have to find the factors of both numbers and list the highest common factor.

The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

The factors of 4831 are 1, 4831

The HCF of 1504,4831 is 1.

Lets's calculate GCF of 1504,4831

Greatest Common Factor (GCF) of 1504,4831 By Common Division

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

Greatest Common Factor of 1504,4831 By Matching Biggest Common Factor Method

Now, list down the factors of 1504

1,2,4,8,16,32,47,94,188,376,752,1504

Now, list down the factors of 4831

1,4831

Greatest Common Factor

We found the factors 1504,4831 . The biggest common factor number is the GCF number.
So the greatest common factor 1504,4831 is 1.

Lets's calculate LCM of 271,3044

Lowest Common Multiple of 271,3044 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 824924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/824924

Therefore, the GCF of Fractions 1504/271,4831/3044 is 1/824924

Least Common Multiple of 271,3044 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 271,3044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,3044) = 1

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

GCF(271,3044) x common factors =1 x 1 = 1

LCM(271,3044) = ( 271 × 3044 ) / 1

LCM(271,3044) = 824924 / 1

LCM(271,3044) = 824924

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FAQs on GCF of Fractions of 1504/271, 4831/3044

1. What is the HCF of 1504,4831?

The HCF of 1504,4831 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 1504/271, 4831/3044?

Answer: GCF of Numerators as per given numbers 1504/271, 4831/3044 is

GCF of Numerators i.e. for 1504,4831 is 1

LCM of denominators i.e. for 271,3044 is 824924.

Thus, GCF of Fractions is 1/824924.Finally, GCF of Fractions for 1504/271, 4831/3044 is 1/824924.