How to Find GCF of 6653/319, 5819/7521?

GCF of 6653/319, 5819/7521

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 6653/319, 5819/7521 i.e 1/2399199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6653/319, 5819/7521.

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 6653/319,5819/7521?

Given fractions are 6653/319,5819/7521

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 6653/319,5819/7521, numerators are 6653,5819

Denominators are 319,7521

The GCF of 6653,5819 is 1 .

LCM of 319,7521 is 2399199.

The greatest common factor of 6653/319,5819/7521 = [GCF of 6653,5819]/[LCM of 319,7521]= 1/2399199

Therefore, the GCF of 6653/319,5819/7521 is 1/2399199.

Greatest Common Factor of 6653,5819

To find the highest common factor of 6653,5819, we have to find the factors of both numbers and list the highest common factor.

The factors of 6653 are 1, 6653

The factors of 5819 are 1, 11, 23, 253, 529, 5819

The HCF of 6653,5819 is 1.

Lets's calculate GCF of 6653,5819

Greatest Common Factor (GCF) of 6653,5819 By Common Division

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

Greatest Common Factor of 6653,5819 By Matching Biggest Common Factor Method

Now, list down the factors of 6653

1,6653

Now, list down the factors of 5819

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 6653,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 6653,5819 is 1.

Lets's calculate LCM of 319,7521

Lowest Common Multiple of 319,7521 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2399199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2399199

Therefore, the GCF of Fractions 6653/319,5819/7521 is 1/2399199

Least Common Multiple of 319,7521 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 319,7521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,7521) = 1

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

GCF(319,7521) x common factors =1 x 1 = 1

LCM(319,7521) = ( 319 × 7521 ) / 1

LCM(319,7521) = 2399199 / 1

LCM(319,7521) = 2399199

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FAQs on GCF of Fractions of 6653/319, 5819/7521

1. What is the HCF of 6653,5819?

The HCF of 6653,5819 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 6653/319, 5819/7521?

Answer: GCF of Numerators as per given numbers 6653/319, 5819/7521 is

GCF of Numerators i.e. for 6653,5819 is 1

LCM of denominators i.e. for 319,7521 is 2399199.

Thus, GCF of Fractions is 1/2399199.Finally, GCF of Fractions for 6653/319, 5819/7521 is 1/2399199.