How to Find GCF of 2819/810, 9524/8201?

GCF of 2819/810, 9524/8201

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 2819/810, 9524/8201 i.e 1/6642810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2819/810, 9524/8201.

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 2819/810,9524/8201?

Given fractions are 2819/810,9524/8201

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 2819/810,9524/8201, numerators are 2819,9524

Denominators are 810,8201

The GCF of 2819,9524 is 1 .

LCM of 810,8201 is 6642810.

The greatest common factor of 2819/810,9524/8201 = [GCF of 2819,9524]/[LCM of 810,8201]= 1/6642810

Therefore, the GCF of 2819/810,9524/8201 is 1/6642810.

Greatest Common Factor of 2819,9524

To find the highest common factor of 2819,9524, we have to find the factors of both numbers and list the highest common factor.

The factors of 2819 are 1, 2819

The factors of 9524 are 1, 2, 4, 2381, 4762, 9524

The HCF of 2819,9524 is 1.

Lets's calculate GCF of 2819,9524

Greatest Common Factor (GCF) of 2819,9524 By Common Division

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

Greatest Common Factor of 2819,9524 By Matching Biggest Common Factor Method

Now, list down the factors of 2819

1,2819

Now, list down the factors of 9524

1,2,4,2381,4762,9524

Greatest Common Factor

We found the factors 2819,9524 . The biggest common factor number is the GCF number.
So the greatest common factor 2819,9524 is 1.

Lets's calculate LCM of 810,8201

Lowest Common Multiple of 810,8201 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6642810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6642810

Therefore, the GCF of Fractions 2819/810,9524/8201 is 1/6642810

Least Common Multiple of 810,8201 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 810,8201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,8201) = 1

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

GCF(810,8201) x common factors =1 x 1 = 1

LCM(810,8201) = ( 810 × 8201 ) / 1

LCM(810,8201) = 6642810 / 1

LCM(810,8201) = 6642810

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FAQs on GCF of Fractions of 2819/810, 9524/8201

1. What is the HCF of 2819,9524?

The HCF of 2819,9524 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 2819/810, 9524/8201?

Answer: GCF of Numerators as per given numbers 2819/810, 9524/8201 is

GCF of Numerators i.e. for 2819,9524 is 1

LCM of denominators i.e. for 810,8201 is 6642810.

Thus, GCF of Fractions is 1/6642810.Finally, GCF of Fractions for 2819/810, 9524/8201 is 1/6642810.