How to Find GCF of 5797/385, 4589/8293?

GCF of 5797/385, 4589/8293

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 5797/385, 4589/8293 i.e 1/3192805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5797/385, 4589/8293.

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 5797/385,4589/8293?

Given fractions are 5797/385,4589/8293

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 5797/385,4589/8293, numerators are 5797,4589

Denominators are 385,8293

The GCF of 5797,4589 is 1 .

LCM of 385,8293 is 3192805.

The greatest common factor of 5797/385,4589/8293 = [GCF of 5797,4589]/[LCM of 385,8293]= 1/3192805

Therefore, the GCF of 5797/385,4589/8293 is 1/3192805.

Greatest Common Factor of 5797,4589

To find the highest common factor of 5797,4589, we have to find the factors of both numbers and list the highest common factor.

The factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797

The factors of 4589 are 1, 13, 353, 4589

The HCF of 5797,4589 is 1.

Lets's calculate GCF of 5797,4589

Greatest Common Factor (GCF) of 5797,4589 By Common Division

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

Greatest Common Factor of 5797,4589 By Matching Biggest Common Factor Method

Now, list down the factors of 5797

1,11,17,31,187,341,527,5797

Now, list down the factors of 4589

1,13,353,4589

Greatest Common Factor

We found the factors 5797,4589 . The biggest common factor number is the GCF number.
So the greatest common factor 5797,4589 is 1.

Lets's calculate LCM of 385,8293

Lowest Common Multiple of 385,8293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3192805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3192805

Therefore, the GCF of Fractions 5797/385,4589/8293 is 1/3192805

Least Common Multiple of 385,8293 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 385,8293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,8293) = 1

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

GCF(385,8293) x common factors =1 x 1 = 1

LCM(385,8293) = ( 385 × 8293 ) / 1

LCM(385,8293) = 3192805 / 1

LCM(385,8293) = 3192805

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FAQs on GCF of Fractions of 5797/385, 4589/8293

1. What is the HCF of 5797,4589?

The HCF of 5797,4589 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 5797/385, 4589/8293?

Answer: GCF of Numerators as per given numbers 5797/385, 4589/8293 is

GCF of Numerators i.e. for 5797,4589 is 1

LCM of denominators i.e. for 385,8293 is 3192805.

Thus, GCF of Fractions is 1/3192805.Finally, GCF of Fractions for 5797/385, 4589/8293 is 1/3192805.