How to Find GCF of 5821/903, 1790/8527?

GCF of 5821/903, 1790/8527

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 5821/903, 1790/8527 i.e 1/7699881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5821/903, 1790/8527.

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 5821/903,1790/8527?

Given fractions are 5821/903,1790/8527

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 5821/903,1790/8527, numerators are 5821,1790

Denominators are 903,8527

The GCF of 5821,1790 is 1 .

LCM of 903,8527 is 7699881.

The greatest common factor of 5821/903,1790/8527 = [GCF of 5821,1790]/[LCM of 903,8527]= 1/7699881

Therefore, the GCF of 5821/903,1790/8527 is 1/7699881.

Greatest Common Factor of 5821,1790

To find the highest common factor of 5821,1790, we have to find the factors of both numbers and list the highest common factor.

The factors of 5821 are 1, 5821

The factors of 1790 are 1, 2, 5, 10, 179, 358, 895, 1790

The HCF of 5821,1790 is 1.

Lets's calculate GCF of 5821,1790

Greatest Common Factor (GCF) of 5821,1790 By Common Division

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

Greatest Common Factor of 5821,1790 By Matching Biggest Common Factor Method

Now, list down the factors of 5821

1,5821

Now, list down the factors of 1790

1,2,5,10,179,358,895,1790

Greatest Common Factor

We found the factors 5821,1790 . The biggest common factor number is the GCF number.
So the greatest common factor 5821,1790 is 1.

Lets's calculate LCM of 903,8527

Lowest Common Multiple of 903,8527 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7699881

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7699881

Therefore, the GCF of Fractions 5821/903,1790/8527 is 1/7699881

Least Common Multiple of 903,8527 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 903,8527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,8527) = 1

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

GCF(903,8527) x common factors =1 x 1 = 1

LCM(903,8527) = ( 903 × 8527 ) / 1

LCM(903,8527) = 7699881 / 1

LCM(903,8527) = 7699881

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FAQs on GCF of Fractions of 5821/903, 1790/8527

1. What is the HCF of 5821,1790?

The HCF of 5821,1790 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 5821/903, 1790/8527?

Answer: GCF of Numerators as per given numbers 5821/903, 1790/8527 is

GCF of Numerators i.e. for 5821,1790 is 1

LCM of denominators i.e. for 903,8527 is 7699881.

Thus, GCF of Fractions is 1/7699881.Finally, GCF of Fractions for 5821/903, 1790/8527 is 1/7699881.