How to Find GCF of 6063/205, 5413/6828?

GCF of 6063/205, 5413/6828

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 6063/205, 5413/6828 i.e 1/1399740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6063/205, 5413/6828.

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 6063/205,5413/6828?

Given fractions are 6063/205,5413/6828

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 6063/205,5413/6828, numerators are 6063,5413

Denominators are 205,6828

The GCF of 6063,5413 is 1 .

LCM of 205,6828 is 1399740.

The greatest common factor of 6063/205,5413/6828 = [GCF of 6063,5413]/[LCM of 205,6828]= 1/1399740

Therefore, the GCF of 6063/205,5413/6828 is 1/1399740.

Greatest Common Factor of 6063,5413

To find the highest common factor of 6063,5413, we have to find the factors of both numbers and list the highest common factor.

The factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063

The factors of 5413 are 1, 5413

The HCF of 6063,5413 is 1.

Lets's calculate GCF of 6063,5413

Greatest Common Factor (GCF) of 6063,5413 By Common Division

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

Greatest Common Factor of 6063,5413 By Matching Biggest Common Factor Method

Now, list down the factors of 6063

1,3,43,47,129,141,2021,6063

Now, list down the factors of 5413

1,5413

Greatest Common Factor

We found the factors 6063,5413 . The biggest common factor number is the GCF number.
So the greatest common factor 6063,5413 is 1.

Lets's calculate LCM of 205,6828

Lowest Common Multiple of 205,6828 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1399740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1399740

Therefore, the GCF of Fractions 6063/205,5413/6828 is 1/1399740

Least Common Multiple of 205,6828 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 205,6828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,6828) = 1

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

GCF(205,6828) x common factors =1 x 1 = 1

LCM(205,6828) = ( 205 × 6828 ) / 1

LCM(205,6828) = 1399740 / 1

LCM(205,6828) = 1399740

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FAQs on GCF of Fractions of 6063/205, 5413/6828

1. What is the HCF of 6063,5413?

The HCF of 6063,5413 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 6063/205, 5413/6828?

Answer: GCF of Numerators as per given numbers 6063/205, 5413/6828 is

GCF of Numerators i.e. for 6063,5413 is 1

LCM of denominators i.e. for 205,6828 is 1399740.

Thus, GCF of Fractions is 1/1399740.Finally, GCF of Fractions for 6063/205, 5413/6828 is 1/1399740.