How to Find GCF of 7289/838, 6413/6489?

GCF of 7289/838, 6413/6489

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 7289/838, 6413/6489 i.e 1/5437782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7289/838, 6413/6489.

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 7289/838,6413/6489?

Given fractions are 7289/838,6413/6489

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 7289/838,6413/6489, numerators are 7289,6413

Denominators are 838,6489

The GCF of 7289,6413 is 1 .

LCM of 838,6489 is 5437782.

The greatest common factor of 7289/838,6413/6489 = [GCF of 7289,6413]/[LCM of 838,6489]= 1/5437782

Therefore, the GCF of 7289/838,6413/6489 is 1/5437782.

Greatest Common Factor of 7289,6413

To find the highest common factor of 7289,6413, we have to find the factors of both numbers and list the highest common factor.

The factors of 7289 are 1, 37, 197, 7289

The factors of 6413 are 1, 11, 53, 121, 583, 6413

The HCF of 7289,6413 is 1.

Lets's calculate GCF of 7289,6413

Greatest Common Factor (GCF) of 7289,6413 By Common Division

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

Greatest Common Factor of 7289,6413 By Matching Biggest Common Factor Method

Now, list down the factors of 7289

1,37,197,7289

Now, list down the factors of 6413

1,11,53,121,583,6413

Greatest Common Factor

We found the factors 7289,6413 . The biggest common factor number is the GCF number.
So the greatest common factor 7289,6413 is 1.

Lets's calculate LCM of 838,6489

Lowest Common Multiple of 838,6489 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5437782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5437782

Therefore, the GCF of Fractions 7289/838,6413/6489 is 1/5437782

Least Common Multiple of 838,6489 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 838,6489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,6489) = 1

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

GCF(838,6489) x common factors =1 x 1 = 1

LCM(838,6489) = ( 838 × 6489 ) / 1

LCM(838,6489) = 5437782 / 1

LCM(838,6489) = 5437782

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FAQs on GCF of Fractions of 7289/838, 6413/6489

1. What is the HCF of 7289,6413?

The HCF of 7289,6413 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 7289/838, 6413/6489?

Answer: GCF of Numerators as per given numbers 7289/838, 6413/6489 is

GCF of Numerators i.e. for 7289,6413 is 1

LCM of denominators i.e. for 838,6489 is 5437782.

Thus, GCF of Fractions is 1/5437782.Finally, GCF of Fractions for 7289/838, 6413/6489 is 1/5437782.